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Finding the Third Proportional to 3,903.25 and 8,214.44

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Solution

The third proportional to 3,903.25 and 8,214.44 is: 17,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.25 : 8,214.44 = 8,214.44 : x
  2. Step 2: Convert to fraction form
    3,903.25/8,214.44 = 8,214.44/x
  3. Step 3: Cross multiply
    3,903.25x = 8,214.44 × 8,214.44
  4. Step 4: Simplify right side
    3,903.25x = 67,476,983.44
  5. Step 5: Solve for x
    x = 67,476,983.44/3,903.25
  6. Step 6: Final answer
    x = 17,287.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.