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Finding the Third Proportional to 12,217.50 and 29,814.75

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Solution

The third proportional to 12,217.50 and 29,814.75 is: 72,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.50 : 29,814.75 = 29,814.75 : x
  2. Step 2: Convert to fraction form
    12,217.50/29,814.75 = 29,814.75/x
  3. Step 3: Cross multiply
    12,217.50x = 29,814.75 × 29,814.75
  4. Step 4: Simplify right side
    12,217.50x = 888,919,317.56
  5. Step 5: Solve for x
    x = 888,919,317.56/12,217.50
  6. Step 6: Final answer
    x = 72,757.87

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.