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Finding the Third Proportional to 26,538 and 58,179

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Solution

The third proportional to 26,538 and 58,179 is: 127,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538 : 58,179 = 58,179 : x
  2. Step 2: Convert to fraction form
    26,538/58,179 = 58,179/x
  3. Step 3: Cross multiply
    26,538x = 58,179 × 58,179
  4. Step 4: Simplify right side
    26,538x = 3,384,796,041
  5. Step 5: Solve for x
    x = 3,384,796,041/26,538
  6. Step 6: Final answer
    x = 127,545.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.