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Finding the Third Proportional to 1,523.25 and 3,267

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Solution

The third proportional to 1,523.25 and 3,267 is: 7,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.25 : 3,267 = 3,267 : x
  2. Step 2: Convert to fraction form
    1,523.25/3,267 = 3,267/x
  3. Step 3: Cross multiply
    1,523.25x = 3,267 × 3,267
  4. Step 4: Simplify right side
    1,523.25x = 10,673,289
  5. Step 5: Solve for x
    x = 10,673,289/1,523.25
  6. Step 6: Final answer
    x = 7,006.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.