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Finding the Third Proportional to 17,659.27 and 38,116.83

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Solution

The third proportional to 17,659.27 and 38,116.83 is: 82,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.27 : 38,116.83 = 38,116.83 : x
  2. Step 2: Convert to fraction form
    17,659.27/38,116.83 = 38,116.83/x
  3. Step 3: Cross multiply
    17,659.27x = 38,116.83 × 38,116.83
  4. Step 4: Simplify right side
    17,659.27x = 1,452,892,586.31
  5. Step 5: Solve for x
    x = 1,452,892,586.31/17,659.27
  6. Step 6: Final answer
    x = 82,273.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.