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Finding the Third Proportional to 17,645.50 and 38,469.79

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Solution

The third proportional to 17,645.50 and 38,469.79 is: 83,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.50 : 38,469.79 = 38,469.79 : x
  2. Step 2: Convert to fraction form
    17,645.50/38,469.79 = 38,469.79/x
  3. Step 3: Cross multiply
    17,645.50x = 38,469.79 × 38,469.79
  4. Step 4: Simplify right side
    17,645.50x = 1,479,924,679.91
  5. Step 5: Solve for x
    x = 1,479,924,679.91/17,645.50
  6. Step 6: Final answer
    x = 83,869.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.