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Finding the Third Proportional to 32,531 and 66,478

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Solution

The third proportional to 32,531 and 66,478 is: 135,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,531 : 66,478 = 66,478 : x
  2. Step 2: Convert to fraction form
    32,531/66,478 = 66,478/x
  3. Step 3: Cross multiply
    32,531x = 66,478 × 66,478
  4. Step 4: Simplify right side
    32,531x = 4,419,324,484
  5. Step 5: Solve for x
    x = 4,419,324,484/32,531
  6. Step 6: Final answer
    x = 135,849.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.