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Finding the Third Proportional to 17,267.71 and 38,164.71

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Solution

The third proportional to 17,267.71 and 38,164.71 is: 84,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.71 : 38,164.71 = 38,164.71 : x
  2. Step 2: Convert to fraction form
    17,267.71/38,164.71 = 38,164.71/x
  3. Step 3: Cross multiply
    17,267.71x = 38,164.71 × 38,164.71
  4. Step 4: Simplify right side
    17,267.71x = 1,456,545,160.94
  5. Step 5: Solve for x
    x = 1,456,545,160.94/17,267.71
  6. Step 6: Final answer
    x = 84,350.79

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.