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Every rung of the ladder shows a ratio equal to the first one. Which numbers go in the two orange boxes, from top to bottom?

Class 6Ratio and ProportionRatio and Proportion
  • A15 and 33
  • B12 and 32
  • C12 and 35
  • D16 and 35

Step-by-Step Solution

The first rung is . Third rung: , so . Fourth rung: , so . (15 and 33 keep adding 7 and 13 — ratios do not work by adding.)
Answer: C) 12 and 35

Key idea: Proportion: when two ratios are equal

If a : , the four numbers are in proportion. The classic check: the **product of the extremes** equals the **product of the means** . Example: are 4 : 6 and 6 : 9 in proportion? Cross-multiply: . Equal → yes, in proportion.

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