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Finding the Third Proportional to 12,241.13 and 33,275.81

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Solution

The third proportional to 12,241.13 and 33,275.81 is: 90,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.13 : 33,275.81 = 33,275.81 : x
  2. Step 2: Convert to fraction form
    12,241.13/33,275.81 = 33,275.81/x
  3. Step 3: Cross multiply
    12,241.13x = 33,275.81 × 33,275.81
  4. Step 4: Simplify right side
    12,241.13x = 1,107,279,697.54
  5. Step 5: Solve for x
    x = 1,107,279,697.54/12,241.13
  6. Step 6: Final answer
    x = 90,455.71

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.