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Finding the Third Proportional to 27,200.25 and 31,614.75

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Solution

The third proportional to 27,200.25 and 31,614.75 is: 36,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.25 : 31,614.75 = 31,614.75 : x
  2. Step 2: Convert to fraction form
    27,200.25/31,614.75 = 31,614.75/x
  3. Step 3: Cross multiply
    27,200.25x = 31,614.75 × 31,614.75
  4. Step 4: Simplify right side
    27,200.25x = 999,492,417.56
  5. Step 5: Solve for x
    x = 999,492,417.56/27,200.25
  6. Step 6: Final answer
    x = 36,745.71

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.