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Finding the Third Proportional to 24,743 and 38,267

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Solution

The third proportional to 24,743 and 38,267 is: 59,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743 : 38,267 = 38,267 : x
  2. Step 2: Convert to fraction form
    24,743/38,267 = 38,267/x
  3. Step 3: Cross multiply
    24,743x = 38,267 × 38,267
  4. Step 4: Simplify right side
    24,743x = 1,464,363,289
  5. Step 5: Solve for x
    x = 1,464,363,289/24,743
  6. Step 6: Final answer
    x = 59,182.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.