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Finding the Third Proportional to 10,120.13 and 15,842.44

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Solution

The third proportional to 10,120.13 and 15,842.44 is: 24,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.13 : 15,842.44 = 15,842.44 : x
  2. Step 2: Convert to fraction form
    10,120.13/15,842.44 = 15,842.44/x
  3. Step 3: Cross multiply
    10,120.13x = 15,842.44 × 15,842.44
  4. Step 4: Simplify right side
    10,120.13x = 250,982,825.94
  5. Step 5: Solve for x
    x = 250,982,825.94/10,120.13
  6. Step 6: Final answer
    x = 24,800.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.