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Finding the Third Proportional to 38,977.50 and 60,744

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Solution

The third proportional to 38,977.50 and 60,744 is: 94,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977.50 : 60,744 = 60,744 : x
  2. Step 2: Convert to fraction form
    38,977.50/60,744 = 60,744/x
  3. Step 3: Cross multiply
    38,977.50x = 60,744 × 60,744
  4. Step 4: Simplify right side
    38,977.50x = 3,689,833,536
  5. Step 5: Solve for x
    x = 3,689,833,536/38,977.50
  6. Step 6: Final answer
    x = 94,665.73

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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.