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Finding the Third Proportional to 3,204 and 3,903.75

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Solution

The third proportional to 3,204 and 3,903.75 is: 4,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 3,903.75 = 3,903.75 : x
  2. Step 2: Convert to fraction form
    3,204/3,903.75 = 3,903.75/x
  3. Step 3: Cross multiply
    3,204x = 3,903.75 × 3,903.75
  4. Step 4: Simplify right side
    3,204x = 15,239,264.06
  5. Step 5: Solve for x
    x = 15,239,264.06/3,204
  6. Step 6: Final answer
    x = 4,756.32

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.