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Finding the Third Proportional to 41,088 and 63,374

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Solution

The third proportional to 41,088 and 63,374 is: 97,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,088 : 63,374 = 63,374 : x
  2. Step 2: Convert to fraction form
    41,088/63,374 = 63,374/x
  3. Step 3: Cross multiply
    41,088x = 63,374 × 63,374
  4. Step 4: Simplify right side
    41,088x = 4,016,263,876
  5. Step 5: Solve for x
    x = 4,016,263,876/41,088
  6. Step 6: Final answer
    x = 97,747.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.