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Finding the Third Proportional to 41,340 and 64,171

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Solution

The third proportional to 41,340 and 64,171 is: 99,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,340 : 64,171 = 64,171 : x
  2. Step 2: Convert to fraction form
    41,340/64,171 = 64,171/x
  3. Step 3: Cross multiply
    41,340x = 64,171 × 64,171
  4. Step 4: Simplify right side
    41,340x = 4,117,917,241
  5. Step 5: Solve for x
    x = 4,117,917,241/41,340
  6. Step 6: Final answer
    x = 99,610.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.