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Finding the Third Proportional to 26,822 and 57,109

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Solution

The third proportional to 26,822 and 57,109 is: 121,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822 : 57,109 = 57,109 : x
  2. Step 2: Convert to fraction form
    26,822/57,109 = 57,109/x
  3. Step 3: Cross multiply
    26,822x = 57,109 × 57,109
  4. Step 4: Simplify right side
    26,822x = 3,261,437,881
  5. Step 5: Solve for x
    x = 3,261,437,881/26,822
  6. Step 6: Final answer
    x = 121,595.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.