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Finding the Third Proportional to 17,632.69 and 38,135.81

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Solution

The third proportional to 17,632.69 and 38,135.81 is: 82,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.69 : 38,135.81 = 38,135.81 : x
  2. Step 2: Convert to fraction form
    17,632.69/38,135.81 = 38,135.81/x
  3. Step 3: Cross multiply
    17,632.69x = 38,135.81 × 38,135.81
  4. Step 4: Simplify right side
    17,632.69x = 1,454,340,195.04
  5. Step 5: Solve for x
    x = 1,454,340,195.04/17,632.69
  6. Step 6: Final answer
    x = 82,479.78

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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.