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Finding the Third Proportional to 39,204 and 60,721

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Solution

The third proportional to 39,204 and 60,721 is: 94,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 60,721 = 60,721 : x
  2. Step 2: Convert to fraction form
    39,204/60,721 = 60,721/x
  3. Step 3: Cross multiply
    39,204x = 60,721 × 60,721
  4. Step 4: Simplify right side
    39,204x = 3,687,039,841
  5. Step 5: Solve for x
    x = 3,687,039,841/39,204
  6. Step 6: Final answer
    x = 94,047.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.