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Finding the Third Proportional to 40,778.44 and 61,731.49

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Solution

The third proportional to 40,778.44 and 61,731.49 is: 93,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,778.44 : 61,731.49 = 61,731.49 : x
  2. Step 2: Convert to fraction form
    40,778.44/61,731.49 = 61,731.49/x
  3. Step 3: Cross multiply
    40,778.44x = 61,731.49 × 61,731.49
  4. Step 4: Simplify right side
    40,778.44x = 3,810,777,127.70
  5. Step 5: Solve for x
    x = 3,810,777,127.70/40,778.44
  6. Step 6: Final answer
    x = 93,450.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.