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Finding the Third Proportional to 41,592 and 56,466

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Solution

The third proportional to 41,592 and 56,466 is: 76,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,592 : 56,466 = 56,466 : x
  2. Step 2: Convert to fraction form
    41,592/56,466 = 56,466/x
  3. Step 3: Cross multiply
    41,592x = 56,466 × 56,466
  4. Step 4: Simplify right side
    41,592x = 3,188,409,156
  5. Step 5: Solve for x
    x = 3,188,409,156/41,592
  6. Step 6: Final answer
    x = 76,659.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.