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Finding the Third Proportional to 26,514 and 57,762

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Solution

The third proportional to 26,514 and 57,762 is: 125,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,514 : 57,762 = 57,762 : x
  2. Step 2: Convert to fraction form
    26,514/57,762 = 57,762/x
  3. Step 3: Cross multiply
    26,514x = 57,762 × 57,762
  4. Step 4: Simplify right side
    26,514x = 3,336,448,644
  5. Step 5: Solve for x
    x = 3,336,448,644/26,514
  6. Step 6: Final answer
    x = 125,837.24

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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.