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Finding the Third Proportional to 27,231.19 and 58,764.23

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Solution

The third proportional to 27,231.19 and 58,764.23 is: 126,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.19 : 58,764.23 = 58,764.23 : x
  2. Step 2: Convert to fraction form
    27,231.19/58,764.23 = 58,764.23/x
  3. Step 3: Cross multiply
    27,231.19x = 58,764.23 × 58,764.23
  4. Step 4: Simplify right side
    27,231.19x = 3,453,235,241.68
  5. Step 5: Solve for x
    x = 3,453,235,241.68/27,231.19
  6. Step 6: Final answer
    x = 126,811.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.