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Finding the Third Proportional to 26,694 and 38,151

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Solution

The third proportional to 26,694 and 38,151 is: 54,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,694 : 38,151 = 38,151 : x
  2. Step 2: Convert to fraction form
    26,694/38,151 = 38,151/x
  3. Step 3: Cross multiply
    26,694x = 38,151 × 38,151
  4. Step 4: Simplify right side
    26,694x = 1,455,498,801
  5. Step 5: Solve for x
    x = 1,455,498,801/26,694
  6. Step 6: Final answer
    x = 54,525.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.