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Finding the Third Proportional to 24,092 and 38,784

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Solution

The third proportional to 24,092 and 38,784 is: 62,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,092 : 38,784 = 38,784 : x
  2. Step 2: Convert to fraction form
    24,092/38,784 = 38,784/x
  3. Step 3: Cross multiply
    24,092x = 38,784 × 38,784
  4. Step 4: Simplify right side
    24,092x = 1,504,198,656
  5. Step 5: Solve for x
    x = 1,504,198,656/24,092
  6. Step 6: Final answer
    x = 62,435.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.