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Finding the Third Proportional to 26,680 and 58,279

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Solution

The third proportional to 26,680 and 58,279 is: 127,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,680 : 58,279 = 58,279 : x
  2. Step 2: Convert to fraction form
    26,680/58,279 = 58,279/x
  3. Step 3: Cross multiply
    26,680x = 58,279 × 58,279
  4. Step 4: Simplify right side
    26,680x = 3,396,441,841
  5. Step 5: Solve for x
    x = 3,396,441,841/26,680
  6. Step 6: Final answer
    x = 127,302.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.