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Finding the Third Proportional to 10,952 and 24,092

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Solution

The third proportional to 10,952 and 24,092 is: 52,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952 : 24,092 = 24,092 : x
  2. Step 2: Convert to fraction form
    10,952/24,092 = 24,092/x
  3. Step 3: Cross multiply
    10,952x = 24,092 × 24,092
  4. Step 4: Simplify right side
    10,952x = 580,424,464
  5. Step 5: Solve for x
    x = 580,424,464/10,952
  6. Step 6: Final answer
    x = 52,997.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.