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Finding the Third Proportional to 3,204 and 7,534

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Solution

The third proportional to 3,204 and 7,534 is: 17,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 7,534 = 7,534 : x
  2. Step 2: Convert to fraction form
    3,204/7,534 = 7,534/x
  3. Step 3: Cross multiply
    3,204x = 7,534 × 7,534
  4. Step 4: Simplify right side
    3,204x = 56,761,156
  5. Step 5: Solve for x
    x = 56,761,156/3,204
  6. Step 6: Final answer
    x = 17,715.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.