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Finding the Third Proportional to 26,806 and 58,226

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Solution

The third proportional to 26,806 and 58,226 is: 126,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 58,226 = 58,226 : x
  2. Step 2: Convert to fraction form
    26,806/58,226 = 58,226/x
  3. Step 3: Cross multiply
    26,806x = 58,226 × 58,226
  4. Step 4: Simplify right side
    26,806x = 3,390,267,076
  5. Step 5: Solve for x
    x = 3,390,267,076/26,806
  6. Step 6: Final answer
    x = 126,474.19

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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.