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Finding the Third Proportional to 3,677.91 and 8,039.25

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Solution

The third proportional to 3,677.91 and 8,039.25 is: 17,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.91 : 8,039.25 = 8,039.25 : x
  2. Step 2: Convert to fraction form
    3,677.91/8,039.25 = 8,039.25/x
  3. Step 3: Cross multiply
    3,677.91x = 8,039.25 × 8,039.25
  4. Step 4: Simplify right side
    3,677.91x = 64,629,540.56
  5. Step 5: Solve for x
    x = 64,629,540.56/3,677.91
  6. Step 6: Final answer
    x = 17,572.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.