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Finding the Third Proportional to 17,727.19 and 38,233.69

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Solution

The third proportional to 17,727.19 and 38,233.69 is: 82,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.19 : 38,233.69 = 38,233.69 : x
  2. Step 2: Convert to fraction form
    17,727.19/38,233.69 = 38,233.69/x
  3. Step 3: Cross multiply
    17,727.19x = 38,233.69 × 38,233.69
  4. Step 4: Simplify right side
    17,727.19x = 1,461,814,859.85
  5. Step 5: Solve for x
    x = 1,461,814,859.85/17,727.19
  6. Step 6: Final answer
    x = 82,461.75

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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.