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Finding the Third Proportional to 40,542 and 60,650.25

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Solution

The third proportional to 40,542 and 60,650.25 is: 90,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,542 : 60,650.25 = 60,650.25 : x
  2. Step 2: Convert to fraction form
    40,542/60,650.25 = 60,650.25/x
  3. Step 3: Cross multiply
    40,542x = 60,650.25 × 60,650.25
  4. Step 4: Simplify right side
    40,542x = 3,678,452,825.06
  5. Step 5: Solve for x
    x = 3,678,452,825.06/40,542
  6. Step 6: Final answer
    x = 90,731.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.