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Finding the Third Proportional to 17,391 and 38,238

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Solution

The third proportional to 17,391 and 38,238 is: 84,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,391 : 38,238 = 38,238 : x
  2. Step 2: Convert to fraction form
    17,391/38,238 = 38,238/x
  3. Step 3: Cross multiply
    17,391x = 38,238 × 38,238
  4. Step 4: Simplify right side
    17,391x = 1,462,144,644
  5. Step 5: Solve for x
    x = 1,462,144,644/17,391
  6. Step 6: Final answer
    x = 84,074.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.