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Finding the Third Proportional to 62,016 and 79,632

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Solution

The third proportional to 62,016 and 79,632 is: 102,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,016 : 79,632 = 79,632 : x
  2. Step 2: Convert to fraction form
    62,016/79,632 = 79,632/x
  3. Step 3: Cross multiply
    62,016x = 79,632 × 79,632
  4. Step 4: Simplify right side
    62,016x = 6,341,255,424
  5. Step 5: Solve for x
    x = 6,341,255,424/62,016
  6. Step 6: Final answer
    x = 102,251.93

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.