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Finding the Third Proportional to 26,821 and 58,891

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Solution

The third proportional to 26,821 and 58,891 is: 129,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821 : 58,891 = 58,891 : x
  2. Step 2: Convert to fraction form
    26,821/58,891 = 58,891/x
  3. Step 3: Cross multiply
    26,821x = 58,891 × 58,891
  4. Step 4: Simplify right side
    26,821x = 3,468,149,881
  5. Step 5: Solve for x
    x = 3,468,149,881/26,821
  6. Step 6: Final answer
    x = 129,307.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.