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Finding the Third Proportional to 17,910.28 and 38,462.34

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Solution

The third proportional to 17,910.28 and 38,462.34 is: 82,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.28 : 38,462.34 = 38,462.34 : x
  2. Step 2: Convert to fraction form
    17,910.28/38,462.34 = 38,462.34/x
  3. Step 3: Cross multiply
    17,910.28x = 38,462.34 × 38,462.34
  4. Step 4: Simplify right side
    17,910.28x = 1,479,351,886.74
  5. Step 5: Solve for x
    x = 1,479,351,886.74/17,910.28
  6. Step 6: Final answer
    x = 82,597.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.