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Finding the Third Proportional to 40,077.75 and 62,542.88

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Solution

The third proportional to 40,077.75 and 62,542.88 is: 97,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,077.75 : 62,542.88 = 62,542.88 : x
  2. Step 2: Convert to fraction form
    40,077.75/62,542.88 = 62,542.88/x
  3. Step 3: Cross multiply
    40,077.75x = 62,542.88 × 62,542.88
  4. Step 4: Simplify right side
    40,077.75x = 3,911,611,213.27
  5. Step 5: Solve for x
    x = 3,911,611,213.27/40,077.75
  6. Step 6: Final answer
    x = 97,600.57

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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.