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Finding the Third Proportional to 26,948 and 58,198

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Solution

The third proportional to 26,948 and 58,198 is: 125,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,948 : 58,198 = 58,198 : x
  2. Step 2: Convert to fraction form
    26,948/58,198 = 58,198/x
  3. Step 3: Cross multiply
    26,948x = 58,198 × 58,198
  4. Step 4: Simplify right side
    26,948x = 3,387,007,204
  5. Step 5: Solve for x
    x = 3,387,007,204/26,948
  6. Step 6: Final answer
    x = 125,686.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.