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Finding the Third Proportional to 24,021 and 38,374

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Solution

The third proportional to 24,021 and 38,374 is: 61,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021 : 38,374 = 38,374 : x
  2. Step 2: Convert to fraction form
    24,021/38,374 = 38,374/x
  3. Step 3: Cross multiply
    24,021x = 38,374 × 38,374
  4. Step 4: Simplify right side
    24,021x = 1,472,563,876
  5. Step 5: Solve for x
    x = 1,472,563,876/24,021
  6. Step 6: Final answer
    x = 61,303.19

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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.