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Finding the Third Proportional to 35,712 and 54,408

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Solution

The third proportional to 35,712 and 54,408 is: 82,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 54,408 = 54,408 : x
  2. Step 2: Convert to fraction form
    35,712/54,408 = 54,408/x
  3. Step 3: Cross multiply
    35,712x = 54,408 × 54,408
  4. Step 4: Simplify right side
    35,712x = 2,960,230,464
  5. Step 5: Solve for x
    x = 2,960,230,464/35,712
  6. Step 6: Final answer
    x = 82,891.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.