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Finding the Third Proportional to 32,437 and 71,265

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Solution

The third proportional to 32,437 and 71,265 is: 156,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,437 : 71,265 = 71,265 : x
  2. Step 2: Convert to fraction form
    32,437/71,265 = 71,265/x
  3. Step 3: Cross multiply
    32,437x = 71,265 × 71,265
  4. Step 4: Simplify right side
    32,437x = 5,078,700,225
  5. Step 5: Solve for x
    x = 5,078,700,225/32,437
  6. Step 6: Final answer
    x = 156,571.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.