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Finding the Third Proportional to 27,420.25 and 41,332.75

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Solution

The third proportional to 27,420.25 and 41,332.75 is: 62,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.25 : 41,332.75 = 41,332.75 : x
  2. Step 2: Convert to fraction form
    27,420.25/41,332.75 = 41,332.75/x
  3. Step 3: Cross multiply
    27,420.25x = 41,332.75 × 41,332.75
  4. Step 4: Simplify right side
    27,420.25x = 1,708,396,222.56
  5. Step 5: Solve for x
    x = 1,708,396,222.56/27,420.25
  6. Step 6: Final answer
    x = 62,304.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.