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Finding the Third Proportional to 4,151 and 10,314

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Solution

The third proportional to 4,151 and 10,314 is: 25,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151 : 10,314 = 10,314 : x
  2. Step 2: Convert to fraction form
    4,151/10,314 = 10,314/x
  3. Step 3: Cross multiply
    4,151x = 10,314 × 10,314
  4. Step 4: Simplify right side
    4,151x = 106,378,596
  5. Step 5: Solve for x
    x = 106,378,596/4,151
  6. Step 6: Final answer
    x = 25,627.22

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.