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Finding the Third Proportional to 27,042.75 and 58,650.75

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Solution

The third proportional to 27,042.75 and 58,650.75 is: 127,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.75 : 58,650.75 = 58,650.75 : x
  2. Step 2: Convert to fraction form
    27,042.75/58,650.75 = 58,650.75/x
  3. Step 3: Cross multiply
    27,042.75x = 58,650.75 × 58,650.75
  4. Step 4: Simplify right side
    27,042.75x = 3,439,910,475.56
  5. Step 5: Solve for x
    x = 3,439,910,475.56/27,042.75
  6. Step 6: Final answer
    x = 127,202.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.