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Finding the Third Proportional to 26,838 and 57,771

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Solution

The third proportional to 26,838 and 57,771 is: 124,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838 : 57,771 = 57,771 : x
  2. Step 2: Convert to fraction form
    26,838/57,771 = 57,771/x
  3. Step 3: Cross multiply
    26,838x = 57,771 × 57,771
  4. Step 4: Simplify right side
    26,838x = 3,337,488,441
  5. Step 5: Solve for x
    x = 3,337,488,441/26,838
  6. Step 6: Final answer
    x = 124,356.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.