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Finding the Third Proportional to 32,470.88 and 67,537.13

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Solution

The third proportional to 32,470.88 and 67,537.13 is: 140,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.88 : 67,537.13 = 67,537.13 : x
  2. Step 2: Convert to fraction form
    32,470.88/67,537.13 = 67,537.13/x
  3. Step 3: Cross multiply
    32,470.88x = 67,537.13 × 67,537.13
  4. Step 4: Simplify right side
    32,470.88x = 4,561,263,253.27
  5. Step 5: Solve for x
    x = 4,561,263,253.27/32,470.88
  6. Step 6: Final answer
    x = 140,472.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.