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Finding the Third Proportional to 24,019 and 38,371

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Solution

The third proportional to 24,019 and 38,371 is: 61,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019 : 38,371 = 38,371 : x
  2. Step 2: Convert to fraction form
    24,019/38,371 = 38,371/x
  3. Step 3: Cross multiply
    24,019x = 38,371 × 38,371
  4. Step 4: Simplify right side
    24,019x = 1,472,333,641
  5. Step 5: Solve for x
    x = 1,472,333,641/24,019
  6. Step 6: Final answer
    x = 61,298.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.