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Finding the Third Proportional to 39,744 and 57,472.88

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Solution

The third proportional to 39,744 and 57,472.88 is: 83,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 57,472.88 = 57,472.88 : x
  2. Step 2: Convert to fraction form
    39,744/57,472.88 = 57,472.88/x
  3. Step 3: Cross multiply
    39,744x = 57,472.88 × 57,472.88
  4. Step 4: Simplify right side
    39,744x = 3,303,131,360.77
  5. Step 5: Solve for x
    x = 3,303,131,360.77/39,744
  6. Step 6: Final answer
    x = 83,110.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.