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Finding the Third Proportional to 27,743.91 and 61,143.19

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Solution

The third proportional to 27,743.91 and 61,143.19 is: 134,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,743.91 : 61,143.19 = 61,143.19 : x
  2. Step 2: Convert to fraction form
    27,743.91/61,143.19 = 61,143.19/x
  3. Step 3: Cross multiply
    27,743.91x = 61,143.19 × 61,143.19
  4. Step 4: Simplify right side
    27,743.91x = 3,738,489,377.66
  5. Step 5: Solve for x
    x = 3,738,489,377.66/27,743.91
  6. Step 6: Final answer
    x = 134,749.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.