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Finding the Third Proportional to 26,833.78 and 58,276.97

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Solution

The third proportional to 26,833.78 and 58,276.97 is: 126,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,833.78 : 58,276.97 = 58,276.97 : x
  2. Step 2: Convert to fraction form
    26,833.78/58,276.97 = 58,276.97/x
  3. Step 3: Cross multiply
    26,833.78x = 58,276.97 × 58,276.97
  4. Step 4: Simplify right side
    26,833.78x = 3,396,205,086.69
  5. Step 5: Solve for x
    x = 3,396,205,086.69/26,833.78
  6. Step 6: Final answer
    x = 126,564.54

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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.