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Finding the Third Proportional to 10,007.13 and 15,496.75

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Solution

The third proportional to 10,007.13 and 15,496.75 is: 23,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.13 : 15,496.75 = 15,496.75 : x
  2. Step 2: Convert to fraction form
    10,007.13/15,496.75 = 15,496.75/x
  3. Step 3: Cross multiply
    10,007.13x = 15,496.75 × 15,496.75
  4. Step 4: Simplify right side
    10,007.13x = 240,149,260.56
  5. Step 5: Solve for x
    x = 240,149,260.56/10,007.13
  6. Step 6: Final answer
    x = 23,997.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.