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Finding the Third Proportional to 6,234.75 and 9,732.38

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Solution

The third proportional to 6,234.75 and 9,732.38 is: 15,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.75 : 9,732.38 = 9,732.38 : x
  2. Step 2: Convert to fraction form
    6,234.75/9,732.38 = 9,732.38/x
  3. Step 3: Cross multiply
    6,234.75x = 9,732.38 × 9,732.38
  4. Step 4: Simplify right side
    6,234.75x = 94,719,123.14
  5. Step 5: Solve for x
    x = 94,719,123.14/6,234.75
  6. Step 6: Final answer
    x = 15,192.13

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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.