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Finding the Third Proportional to 24,386 and 38,781

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Solution

The third proportional to 24,386 and 38,781 is: 61,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386 : 38,781 = 38,781 : x
  2. Step 2: Convert to fraction form
    24,386/38,781 = 38,781/x
  3. Step 3: Cross multiply
    24,386x = 38,781 × 38,781
  4. Step 4: Simplify right side
    24,386x = 1,503,965,961
  5. Step 5: Solve for x
    x = 1,503,965,961/24,386
  6. Step 6: Final answer
    x = 61,673.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.