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Finding the Third Proportional to 41,671 and 64,532

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Solution

The third proportional to 41,671 and 64,532 is: 99,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,671 : 64,532 = 64,532 : x
  2. Step 2: Convert to fraction form
    41,671/64,532 = 64,532/x
  3. Step 3: Cross multiply
    41,671x = 64,532 × 64,532
  4. Step 4: Simplify right side
    41,671x = 4,164,379,024
  5. Step 5: Solve for x
    x = 4,164,379,024/41,671
  6. Step 6: Final answer
    x = 99,934.70

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