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Finding the Third Proportional to 41,471 and 63,781

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Solution

The third proportional to 41,471 and 63,781 is: 98,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,471 : 63,781 = 63,781 : x
  2. Step 2: Convert to fraction form
    41,471/63,781 = 63,781/x
  3. Step 3: Cross multiply
    41,471x = 63,781 × 63,781
  4. Step 4: Simplify right side
    41,471x = 4,068,015,961
  5. Step 5: Solve for x
    x = 4,068,015,961/41,471
  6. Step 6: Final answer
    x = 98,093.03

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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.