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Finding the Third Proportional to 13,177.69 and 27,433.69

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Solution

The third proportional to 13,177.69 and 27,433.69 is: 57,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.69 : 27,433.69 = 27,433.69 : x
  2. Step 2: Convert to fraction form
    13,177.69/27,433.69 = 27,433.69/x
  3. Step 3: Cross multiply
    13,177.69x = 27,433.69 × 27,433.69
  4. Step 4: Simplify right side
    13,177.69x = 752,607,209.85
  5. Step 5: Solve for x
    x = 752,607,209.85/13,177.69
  6. Step 6: Final answer
    x = 57,112.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.