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Finding the Third Proportional to 3,204 and 5,076

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Solution

The third proportional to 3,204 and 5,076 is: 8,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 5,076 = 5,076 : x
  2. Step 2: Convert to fraction form
    3,204/5,076 = 5,076/x
  3. Step 3: Cross multiply
    3,204x = 5,076 × 5,076
  4. Step 4: Simplify right side
    3,204x = 25,765,776
  5. Step 5: Solve for x
    x = 25,765,776/3,204
  6. Step 6: Final answer
    x = 8,041.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.