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Finding the Third Proportional to 4,296 and 10,314

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Solution

The third proportional to 4,296 and 10,314 is: 24,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 10,314 = 10,314 : x
  2. Step 2: Convert to fraction form
    4,296/10,314 = 10,314/x
  3. Step 3: Cross multiply
    4,296x = 10,314 × 10,314
  4. Step 4: Simplify right side
    4,296x = 106,378,596
  5. Step 5: Solve for x
    x = 106,378,596/4,296
  6. Step 6: Final answer
    x = 24,762.24

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.