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Finding the Third Proportional to 38,107 and 58,259

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Solution

The third proportional to 38,107 and 58,259 is: 89,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,107 : 58,259 = 58,259 : x
  2. Step 2: Convert to fraction form
    38,107/58,259 = 58,259/x
  3. Step 3: Cross multiply
    38,107x = 58,259 × 58,259
  4. Step 4: Simplify right side
    38,107x = 3,394,111,081
  5. Step 5: Solve for x
    x = 3,394,111,081/38,107
  6. Step 6: Final answer
    x = 89,067.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.