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Finding the Third Proportional to 24,314 and 38,092

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Solution

The third proportional to 24,314 and 38,092 is: 59,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314 : 38,092 = 38,092 : x
  2. Step 2: Convert to fraction form
    24,314/38,092 = 38,092/x
  3. Step 3: Cross multiply
    24,314x = 38,092 × 38,092
  4. Step 4: Simplify right side
    24,314x = 1,451,000,464
  5. Step 5: Solve for x
    x = 1,451,000,464/24,314
  6. Step 6: Final answer
    x = 59,677.57

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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.