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Finding the Third Proportional to 38,112 and 60,864

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Solution

The third proportional to 38,112 and 60,864 is: 97,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112 : 60,864 = 60,864 : x
  2. Step 2: Convert to fraction form
    38,112/60,864 = 60,864/x
  3. Step 3: Cross multiply
    38,112x = 60,864 × 60,864
  4. Step 4: Simplify right side
    38,112x = 3,704,426,496
  5. Step 5: Solve for x
    x = 3,704,426,496/38,112
  6. Step 6: Final answer
    x = 97,198.43

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.