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Finding the Third Proportional to 3,214 and 4,203

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Solution

The third proportional to 3,214 and 4,203 is: 5,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 4,203 = 4,203 : x
  2. Step 2: Convert to fraction form
    3,214/4,203 = 4,203/x
  3. Step 3: Cross multiply
    3,214x = 4,203 × 4,203
  4. Step 4: Simplify right side
    3,214x = 17,665,209
  5. Step 5: Solve for x
    x = 17,665,209/3,214
  6. Step 6: Final answer
    x = 5,496.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.