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Finding the Third Proportional to 5,178.13 and 11,081.88

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Solution

The third proportional to 5,178.13 and 11,081.88 is: 23,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.13 : 11,081.88 = 11,081.88 : x
  2. Step 2: Convert to fraction form
    5,178.13/11,081.88 = 11,081.88/x
  3. Step 3: Cross multiply
    5,178.13x = 11,081.88 × 11,081.88
  4. Step 4: Simplify right side
    5,178.13x = 122,807,953.52
  5. Step 5: Solve for x
    x = 122,807,953.52/5,178.13
  6. Step 6: Final answer
    x = 23,716.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.