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Finding the Third Proportional to 27,780.75 and 54,163.13

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Solution

The third proportional to 27,780.75 and 54,163.13 is: 105,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.75 : 54,163.13 = 54,163.13 : x
  2. Step 2: Convert to fraction form
    27,780.75/54,163.13 = 54,163.13/x
  3. Step 3: Cross multiply
    27,780.75x = 54,163.13 × 54,163.13
  4. Step 4: Simplify right side
    27,780.75x = 2,933,644,109.77
  5. Step 5: Solve for x
    x = 2,933,644,109.77/27,780.75
  6. Step 6: Final answer
    x = 105,599.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.