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Finding the Third Proportional to 38,816 and 60,120

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Solution

The third proportional to 38,816 and 60,120 is: 93,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 60,120 = 60,120 : x
  2. Step 2: Convert to fraction form
    38,816/60,120 = 60,120/x
  3. Step 3: Cross multiply
    38,816x = 60,120 × 60,120
  4. Step 4: Simplify right side
    38,816x = 3,614,414,400
  5. Step 5: Solve for x
    x = 3,614,414,400/38,816
  6. Step 6: Final answer
    x = 93,116.61

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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.