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Finding the Third Proportional to 3,638.25 and 8,013.94

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Solution

The third proportional to 3,638.25 and 8,013.94 is: 17,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.25 : 8,013.94 = 8,013.94 : x
  2. Step 2: Convert to fraction form
    3,638.25/8,013.94 = 8,013.94/x
  3. Step 3: Cross multiply
    3,638.25x = 8,013.94 × 8,013.94
  4. Step 4: Simplify right side
    3,638.25x = 64,223,194.25
  5. Step 5: Solve for x
    x = 64,223,194.25/3,638.25
  6. Step 6: Final answer
    x = 17,652.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.