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Finding the Third Proportional to 24,179.50 and 34,244

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Solution

The third proportional to 24,179.50 and 34,244 is: 48,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.50 : 34,244 = 34,244 : x
  2. Step 2: Convert to fraction form
    24,179.50/34,244 = 34,244/x
  3. Step 3: Cross multiply
    24,179.50x = 34,244 × 34,244
  4. Step 4: Simplify right side
    24,179.50x = 1,172,651,536
  5. Step 5: Solve for x
    x = 1,172,651,536/24,179.50
  6. Step 6: Final answer
    x = 48,497.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.