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Finding the Third Proportional to 27,469.13 and 55,378.69

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Solution

The third proportional to 27,469.13 and 55,378.69 is: 111,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.13 : 55,378.69 = 55,378.69 : x
  2. Step 2: Convert to fraction form
    27,469.13/55,378.69 = 55,378.69/x
  3. Step 3: Cross multiply
    27,469.13x = 55,378.69 × 55,378.69
  4. Step 4: Simplify right side
    27,469.13x = 3,066,799,029.22
  5. Step 5: Solve for x
    x = 3,066,799,029.22/27,469.13
  6. Step 6: Final answer
    x = 111,645.31

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.