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Finding the Third Proportional to 3,619.69 and 8,377.17

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Solution

The third proportional to 3,619.69 and 8,377.17 is: 19,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.69 : 8,377.17 = 8,377.17 : x
  2. Step 2: Convert to fraction form
    3,619.69/8,377.17 = 8,377.17/x
  3. Step 3: Cross multiply
    3,619.69x = 8,377.17 × 8,377.17
  4. Step 4: Simplify right side
    3,619.69x = 70,177,008.62
  5. Step 5: Solve for x
    x = 70,177,008.62/3,619.69
  6. Step 6: Final answer
    x = 19,387.59

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.