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Finding the Third Proportional to 39,946 and 57,542

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Solution

The third proportional to 39,946 and 57,542 is: 82,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,946 : 57,542 = 57,542 : x
  2. Step 2: Convert to fraction form
    39,946/57,542 = 57,542/x
  3. Step 3: Cross multiply
    39,946x = 57,542 × 57,542
  4. Step 4: Simplify right side
    39,946x = 3,311,081,764
  5. Step 5: Solve for x
    x = 3,311,081,764/39,946
  6. Step 6: Final answer
    x = 82,888.94

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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.