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Finding the Third Proportional to 28,678 and 61,750

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Solution

The third proportional to 28,678 and 61,750 is: 132,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,678 : 61,750 = 61,750 : x
  2. Step 2: Convert to fraction form
    28,678/61,750 = 61,750/x
  3. Step 3: Cross multiply
    28,678x = 61,750 × 61,750
  4. Step 4: Simplify right side
    28,678x = 3,813,062,500
  5. Step 5: Solve for x
    x = 3,813,062,500/28,678
  6. Step 6: Final answer
    x = 132,961.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.