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Finding the Third Proportional to 5,314 and 12,349

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Solution

The third proportional to 5,314 and 12,349 is: 28,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314 : 12,349 = 12,349 : x
  2. Step 2: Convert to fraction form
    5,314/12,349 = 12,349/x
  3. Step 3: Cross multiply
    5,314x = 12,349 × 12,349
  4. Step 4: Simplify right side
    5,314x = 152,497,801
  5. Step 5: Solve for x
    x = 152,497,801/5,314
  6. Step 6: Final answer
    x = 28,697.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.