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Finding the Third Proportional to 38,976 and 60,462

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Solution

The third proportional to 38,976 and 60,462 is: 93,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976 : 60,462 = 60,462 : x
  2. Step 2: Convert to fraction form
    38,976/60,462 = 60,462/x
  3. Step 3: Cross multiply
    38,976x = 60,462 × 60,462
  4. Step 4: Simplify right side
    38,976x = 3,655,653,444
  5. Step 5: Solve for x
    x = 3,655,653,444/38,976
  6. Step 6: Final answer
    x = 93,792.42

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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.