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Finding the Third Proportional to 41,600 and 56,451

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Solution

The third proportional to 41,600 and 56,451 is: 76,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,600 : 56,451 = 56,451 : x
  2. Step 2: Convert to fraction form
    41,600/56,451 = 56,451/x
  3. Step 3: Cross multiply
    41,600x = 56,451 × 56,451
  4. Step 4: Simplify right side
    41,600x = 3,186,715,401
  5. Step 5: Solve for x
    x = 3,186,715,401/41,600
  6. Step 6: Final answer
    x = 76,603.74

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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.