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Finding the Third Proportional to 24,800 and 34,686

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Solution

The third proportional to 24,800 and 34,686 is: 48,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,800 : 34,686 = 34,686 : x
  2. Step 2: Convert to fraction form
    24,800/34,686 = 34,686/x
  3. Step 3: Cross multiply
    24,800x = 34,686 × 34,686
  4. Step 4: Simplify right side
    24,800x = 1,203,118,596
  5. Step 5: Solve for x
    x = 1,203,118,596/24,800
  6. Step 6: Final answer
    x = 48,512.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.