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Finding the Third Proportional to 10,382.25 and 24,374

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Solution

The third proportional to 10,382.25 and 24,374 is: 57,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.25 : 24,374 = 24,374 : x
  2. Step 2: Convert to fraction form
    10,382.25/24,374 = 24,374/x
  3. Step 3: Cross multiply
    10,382.25x = 24,374 × 24,374
  4. Step 4: Simplify right side
    10,382.25x = 594,091,876
  5. Step 5: Solve for x
    x = 594,091,876/10,382.25
  6. Step 6: Final answer
    x = 57,221.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.