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Finding the Third Proportional to 3,669.05 and 8,868.23

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Solution

The third proportional to 3,669.05 and 8,868.23 is: 21,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.05 : 8,868.23 = 8,868.23 : x
  2. Step 2: Convert to fraction form
    3,669.05/8,868.23 = 8,868.23/x
  3. Step 3: Cross multiply
    3,669.05x = 8,868.23 × 8,868.23
  4. Step 4: Simplify right side
    3,669.05x = 78,645,580.93
  5. Step 5: Solve for x
    x = 78,645,580.93/3,669.05
  6. Step 6: Final answer
    x = 21,434.88

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.