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Finding the Third Proportional to 10,524 and 22,496

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Solution

The third proportional to 10,524 and 22,496 is: 48,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 22,496 = 22,496 : x
  2. Step 2: Convert to fraction form
    10,524/22,496 = 22,496/x
  3. Step 3: Cross multiply
    10,524x = 22,496 × 22,496
  4. Step 4: Simplify right side
    10,524x = 506,070,016
  5. Step 5: Solve for x
    x = 506,070,016/10,524
  6. Step 6: Final answer
    x = 48,087.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.