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Finding the Third Proportional to 27,214.03 and 41,231.25

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Solution

The third proportional to 27,214.03 and 41,231.25 is: 62,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.03 : 41,231.25 = 41,231.25 : x
  2. Step 2: Convert to fraction form
    27,214.03/41,231.25 = 41,231.25/x
  3. Step 3: Cross multiply
    27,214.03x = 41,231.25 × 41,231.25
  4. Step 4: Simplify right side
    27,214.03x = 1,700,015,976.56
  5. Step 5: Solve for x
    x = 1,700,015,976.56/27,214.03
  6. Step 6: Final answer
    x = 62,468.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.