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Finding the Third Proportional to 45,517.56 and 71,247.44

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Solution

The third proportional to 45,517.56 and 71,247.44 is: 111,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,517.56 : 71,247.44 = 71,247.44 : x
  2. Step 2: Convert to fraction form
    45,517.56/71,247.44 = 71,247.44/x
  3. Step 3: Cross multiply
    45,517.56x = 71,247.44 × 71,247.44
  4. Step 4: Simplify right side
    45,517.56x = 5,076,197,350.32
  5. Step 5: Solve for x
    x = 5,076,197,350.32/45,517.56
  6. Step 6: Final answer
    x = 111,521.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.