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Finding the Third Proportional to 26,975 and 58,891

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Solution

The third proportional to 26,975 and 58,891 is: 128,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,975 : 58,891 = 58,891 : x
  2. Step 2: Convert to fraction form
    26,975/58,891 = 58,891/x
  3. Step 3: Cross multiply
    26,975x = 58,891 × 58,891
  4. Step 4: Simplify right side
    26,975x = 3,468,149,881
  5. Step 5: Solve for x
    x = 3,468,149,881/26,975
  6. Step 6: Final answer
    x = 128,569.04

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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.