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Finding the Third Proportional to 39,451 and 55,491

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Solution

The third proportional to 39,451 and 55,491 is: 78,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,451 : 55,491 = 55,491 : x
  2. Step 2: Convert to fraction form
    39,451/55,491 = 55,491/x
  3. Step 3: Cross multiply
    39,451x = 55,491 × 55,491
  4. Step 4: Simplify right side
    39,451x = 3,079,251,081
  5. Step 5: Solve for x
    x = 3,079,251,081/39,451
  6. Step 6: Final answer
    x = 78,052.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.