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Finding the Third Proportional to 12,449.25 and 27,227.25

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Solution

The third proportional to 12,449.25 and 27,227.25 is: 59,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.25 : 27,227.25 = 27,227.25 : x
  2. Step 2: Convert to fraction form
    12,449.25/27,227.25 = 27,227.25/x
  3. Step 3: Cross multiply
    12,449.25x = 27,227.25 × 27,227.25
  4. Step 4: Simplify right side
    12,449.25x = 741,323,142.56
  5. Step 5: Solve for x
    x = 741,323,142.56/12,449.25
  6. Step 6: Final answer
    x = 59,547.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.