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Finding the Third Proportional to 3,673.38 and 8,664.25

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Solution

The third proportional to 3,673.38 and 8,664.25 is: 20,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.38 : 8,664.25 = 8,664.25 : x
  2. Step 2: Convert to fraction form
    3,673.38/8,664.25 = 8,664.25/x
  3. Step 3: Cross multiply
    3,673.38x = 8,664.25 × 8,664.25
  4. Step 4: Simplify right side
    3,673.38x = 75,069,228.06
  5. Step 5: Solve for x
    x = 75,069,228.06/3,673.38
  6. Step 6: Final answer
    x = 20,436.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.