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Finding the Third Proportional to 10,027.13 and 15,523.31

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Solution

The third proportional to 10,027.13 and 15,523.31 is: 24,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.13 : 15,523.31 = 15,523.31 : x
  2. Step 2: Convert to fraction form
    10,027.13/15,523.31 = 15,523.31/x
  3. Step 3: Cross multiply
    10,027.13x = 15,523.31 × 15,523.31
  4. Step 4: Simplify right side
    10,027.13x = 240,973,230.97
  5. Step 5: Solve for x
    x = 240,973,230.97/10,027.13
  6. Step 6: Final answer
    x = 24,032.14

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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.