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Finding the Third Proportional to 27,879.50 and 57,118

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Solution

The third proportional to 27,879.50 and 57,118 is: 117,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.50 : 57,118 = 57,118 : x
  2. Step 2: Convert to fraction form
    27,879.50/57,118 = 57,118/x
  3. Step 3: Cross multiply
    27,879.50x = 57,118 × 57,118
  4. Step 4: Simplify right side
    27,879.50x = 3,262,465,924
  5. Step 5: Solve for x
    x = 3,262,465,924/27,879.50
  6. Step 6: Final answer
    x = 117,020.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.