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Finding the Third Proportional to 11,179.50 and 23,691

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Solution

The third proportional to 11,179.50 and 23,691 is: 50,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.50 : 23,691 = 23,691 : x
  2. Step 2: Convert to fraction form
    11,179.50/23,691 = 23,691/x
  3. Step 3: Cross multiply
    11,179.50x = 23,691 × 23,691
  4. Step 4: Simplify right side
    11,179.50x = 561,263,481
  5. Step 5: Solve for x
    x = 561,263,481/11,179.50
  6. Step 6: Final answer
    x = 50,204.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.