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Finding the Third Proportional to 15,082.31 and 32,167.69

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Solution

The third proportional to 15,082.31 and 32,167.69 is: 68,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.31 : 32,167.69 = 32,167.69 : x
  2. Step 2: Convert to fraction form
    15,082.31/32,167.69 = 32,167.69/x
  3. Step 3: Cross multiply
    15,082.31x = 32,167.69 × 32,167.69
  4. Step 4: Simplify right side
    15,082.31x = 1,034,760,119.10
  5. Step 5: Solve for x
    x = 1,034,760,119.10/15,082.31
  6. Step 6: Final answer
    x = 68,607.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.