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Finding the Third Proportional to 3,265 and 3,751

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Solution

The third proportional to 3,265 and 3,751 is: 4,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265 : 3,751 = 3,751 : x
  2. Step 2: Convert to fraction form
    3,265/3,751 = 3,751/x
  3. Step 3: Cross multiply
    3,265x = 3,751 × 3,751
  4. Step 4: Simplify right side
    3,265x = 14,070,001
  5. Step 5: Solve for x
    x = 14,070,001/3,265
  6. Step 6: Final answer
    x = 4,309.34

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.