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Finding the Third Proportional to 26,891 and 58,446

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Solution

The third proportional to 26,891 and 58,446 is: 127,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,891 : 58,446 = 58,446 : x
  2. Step 2: Convert to fraction form
    26,891/58,446 = 58,446/x
  3. Step 3: Cross multiply
    26,891x = 58,446 × 58,446
  4. Step 4: Simplify right side
    26,891x = 3,415,934,916
  5. Step 5: Solve for x
    x = 3,415,934,916/26,891
  6. Step 6: Final answer
    x = 127,028.93

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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.