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Finding the Third Proportional to 32,839.17 and 51,121.13

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Solution

The third proportional to 32,839.17 and 51,121.13 is: 79,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839.17 : 51,121.13 = 51,121.13 : x
  2. Step 2: Convert to fraction form
    32,839.17/51,121.13 = 51,121.13/x
  3. Step 3: Cross multiply
    32,839.17x = 51,121.13 × 51,121.13
  4. Step 4: Simplify right side
    32,839.17x = 2,613,369,421.27
  5. Step 5: Solve for x
    x = 2,613,369,421.27/32,839.17
  6. Step 6: Final answer
    x = 79,580.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.