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Finding the Third Proportional to 4,275 and 10,809

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Solution

The third proportional to 4,275 and 10,809 is: 27,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 10,809 = 10,809 : x
  2. Step 2: Convert to fraction form
    4,275/10,809 = 10,809/x
  3. Step 3: Cross multiply
    4,275x = 10,809 × 10,809
  4. Step 4: Simplify right side
    4,275x = 116,834,481
  5. Step 5: Solve for x
    x = 116,834,481/4,275
  6. Step 6: Final answer
    x = 27,329.70

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.