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Finding the Third Proportional to 41,671 and 62,511

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Solution

The third proportional to 41,671 and 62,511 is: 93,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,671 : 62,511 = 62,511 : x
  2. Step 2: Convert to fraction form
    41,671/62,511 = 62,511/x
  3. Step 3: Cross multiply
    41,671x = 62,511 × 62,511
  4. Step 4: Simplify right side
    41,671x = 3,907,625,121
  5. Step 5: Solve for x
    x = 3,907,625,121/41,671
  6. Step 6: Final answer
    x = 93,773.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.