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Finding the Third Proportional to 41,086 and 63,443

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Solution

The third proportional to 41,086 and 63,443 is: 97,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,086 : 63,443 = 63,443 : x
  2. Step 2: Convert to fraction form
    41,086/63,443 = 63,443/x
  3. Step 3: Cross multiply
    41,086x = 63,443 × 63,443
  4. Step 4: Simplify right side
    41,086x = 4,025,014,249
  5. Step 5: Solve for x
    x = 4,025,014,249/41,086
  6. Step 6: Final answer
    x = 97,965.59

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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.