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Finding the Third Proportional to 3,202 and 5,228

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Solution

The third proportional to 3,202 and 5,228 is: 8,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202 : 5,228 = 5,228 : x
  2. Step 2: Convert to fraction form
    3,202/5,228 = 5,228/x
  3. Step 3: Cross multiply
    3,202x = 5,228 × 5,228
  4. Step 4: Simplify right side
    3,202x = 27,331,984
  5. Step 5: Solve for x
    x = 27,331,984/3,202
  6. Step 6: Final answer
    x = 8,535.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.