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Finding the Third Proportional to 9,747.38 and 15,496.13

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Solution

The third proportional to 9,747.38 and 15,496.13 is: 24,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.38 : 15,496.13 = 15,496.13 : x
  2. Step 2: Convert to fraction form
    9,747.38/15,496.13 = 15,496.13/x
  3. Step 3: Cross multiply
    9,747.38x = 15,496.13 × 15,496.13
  4. Step 4: Simplify right side
    9,747.38x = 240,129,890.02
  5. Step 5: Solve for x
    x = 240,129,890.02/9,747.38
  6. Step 6: Final answer
    x = 24,635.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.