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Finding the Third Proportional to 38,977 and 60,743

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Solution

The third proportional to 38,977 and 60,743 is: 94,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977 : 60,743 = 60,743 : x
  2. Step 2: Convert to fraction form
    38,977/60,743 = 60,743/x
  3. Step 3: Cross multiply
    38,977x = 60,743 × 60,743
  4. Step 4: Simplify right side
    38,977x = 3,689,712,049
  5. Step 5: Solve for x
    x = 3,689,712,049/38,977
  6. Step 6: Final answer
    x = 94,663.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.