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Finding the Third Proportional to 28,800 and 62,496

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Solution

The third proportional to 28,800 and 62,496 is: 135,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 62,496 = 62,496 : x
  2. Step 2: Convert to fraction form
    28,800/62,496 = 62,496/x
  3. Step 3: Cross multiply
    28,800x = 62,496 × 62,496
  4. Step 4: Simplify right side
    28,800x = 3,905,750,016
  5. Step 5: Solve for x
    x = 3,905,750,016/28,800
  6. Step 6: Final answer
    x = 135,616.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.