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Finding the Third Proportional to 7,731.38 and 16,966.13

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Solution

The third proportional to 7,731.38 and 16,966.13 is: 37,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.38 : 16,966.13 = 16,966.13 : x
  2. Step 2: Convert to fraction form
    7,731.38/16,966.13 = 16,966.13/x
  3. Step 3: Cross multiply
    7,731.38x = 16,966.13 × 16,966.13
  4. Step 4: Simplify right side
    7,731.38x = 287,849,397.52
  5. Step 5: Solve for x
    x = 287,849,397.52/7,731.38
  6. Step 6: Final answer
    x = 37,231.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.