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Finding the Third Proportional to 45,042.75 and 57,174.75

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Solution

The third proportional to 45,042.75 and 57,174.75 is: 72,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042.75 : 57,174.75 = 57,174.75 : x
  2. Step 2: Convert to fraction form
    45,042.75/57,174.75 = 57,174.75/x
  3. Step 3: Cross multiply
    45,042.75x = 57,174.75 × 57,174.75
  4. Step 4: Simplify right side
    45,042.75x = 3,268,952,037.56
  5. Step 5: Solve for x
    x = 3,268,952,037.56/45,042.75
  6. Step 6: Final answer
    x = 72,574.43

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.