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Finding the Third Proportional to 26,681 and 57,249

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Solution

The third proportional to 26,681 and 57,249 is: 122,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,681 : 57,249 = 57,249 : x
  2. Step 2: Convert to fraction form
    26,681/57,249 = 57,249/x
  3. Step 3: Cross multiply
    26,681x = 57,249 × 57,249
  4. Step 4: Simplify right side
    26,681x = 3,277,448,001
  5. Step 5: Solve for x
    x = 3,277,448,001/26,681
  6. Step 6: Final answer
    x = 122,838.27

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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.