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Finding the Third Proportional to 24,287 and 38,619

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Solution

The third proportional to 24,287 and 38,619 is: 61,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287 : 38,619 = 38,619 : x
  2. Step 2: Convert to fraction form
    24,287/38,619 = 38,619/x
  3. Step 3: Cross multiply
    24,287x = 38,619 × 38,619
  4. Step 4: Simplify right side
    24,287x = 1,491,427,161
  5. Step 5: Solve for x
    x = 1,491,427,161/24,287
  6. Step 6: Final answer
    x = 61,408.46

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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.