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Finding the Third Proportional to 39,648 and 56,374

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Solution

The third proportional to 39,648 and 56,374 is: 80,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 56,374 = 56,374 : x
  2. Step 2: Convert to fraction form
    39,648/56,374 = 56,374/x
  3. Step 3: Cross multiply
    39,648x = 56,374 × 56,374
  4. Step 4: Simplify right side
    39,648x = 3,178,027,876
  5. Step 5: Solve for x
    x = 3,178,027,876/39,648
  6. Step 6: Final answer
    x = 80,156.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.