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Finding the Third Proportional to 40,531.76 and 57,738.19

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Solution

The third proportional to 40,531.76 and 57,738.19 is: 82,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,531.76 : 57,738.19 = 57,738.19 : x
  2. Step 2: Convert to fraction form
    40,531.76/57,738.19 = 57,738.19/x
  3. Step 3: Cross multiply
    40,531.76x = 57,738.19 × 57,738.19
  4. Step 4: Simplify right side
    40,531.76x = 3,333,698,380.36
  5. Step 5: Solve for x
    x = 3,333,698,380.36/40,531.76
  6. Step 6: Final answer
    x = 82,249.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.