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Finding the Third Proportional to 10,221.75 and 15,634.13

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Solution

The third proportional to 10,221.75 and 15,634.13 is: 23,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.75 : 15,634.13 = 15,634.13 : x
  2. Step 2: Convert to fraction form
    10,221.75/15,634.13 = 15,634.13/x
  3. Step 3: Cross multiply
    10,221.75x = 15,634.13 × 15,634.13
  4. Step 4: Simplify right side
    10,221.75x = 244,425,864.52
  5. Step 5: Solve for x
    x = 244,425,864.52/10,221.75
  6. Step 6: Final answer
    x = 23,912.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.