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Finding the Third Proportional to 39,304 and 60,860

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Solution

The third proportional to 39,304 and 60,860 is: 94,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,304 : 60,860 = 60,860 : x
  2. Step 2: Convert to fraction form
    39,304/60,860 = 60,860/x
  3. Step 3: Cross multiply
    39,304x = 60,860 × 60,860
  4. Step 4: Simplify right side
    39,304x = 3,703,939,600
  5. Step 5: Solve for x
    x = 3,703,939,600/39,304
  6. Step 6: Final answer
    x = 94,238.24

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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.