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Finding the Third Proportional to 41,086 and 63,371

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Solution

The third proportional to 41,086 and 63,371 is: 97,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,086 : 63,371 = 63,371 : x
  2. Step 2: Convert to fraction form
    41,086/63,371 = 63,371/x
  3. Step 3: Cross multiply
    41,086x = 63,371 × 63,371
  4. Step 4: Simplify right side
    41,086x = 4,015,883,641
  5. Step 5: Solve for x
    x = 4,015,883,641/41,086
  6. Step 6: Final answer
    x = 97,743.36

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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.