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Finding the Third Proportional to 39,976 and 57,754

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Solution

The third proportional to 39,976 and 57,754 is: 83,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976 : 57,754 = 57,754 : x
  2. Step 2: Convert to fraction form
    39,976/57,754 = 57,754/x
  3. Step 3: Cross multiply
    39,976x = 57,754 × 57,754
  4. Step 4: Simplify right side
    39,976x = 3,335,524,516
  5. Step 5: Solve for x
    x = 3,335,524,516/39,976
  6. Step 6: Final answer
    x = 83,438.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.