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Finding the Third Proportional to 3,265 and 5,738

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Solution

The third proportional to 3,265 and 5,738 is: 10,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265 : 5,738 = 5,738 : x
  2. Step 2: Convert to fraction form
    3,265/5,738 = 5,738/x
  3. Step 3: Cross multiply
    3,265x = 5,738 × 5,738
  4. Step 4: Simplify right side
    3,265x = 32,924,644
  5. Step 5: Solve for x
    x = 32,924,644/3,265
  6. Step 6: Final answer
    x = 10,084.12

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.