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Finding the Third Proportional to 5,349 and 10,374

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Solution

The third proportional to 5,349 and 10,374 is: 20,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349 : 10,374 = 10,374 : x
  2. Step 2: Convert to fraction form
    5,349/10,374 = 10,374/x
  3. Step 3: Cross multiply
    5,349x = 10,374 × 10,374
  4. Step 4: Simplify right side
    5,349x = 107,619,876
  5. Step 5: Solve for x
    x = 107,619,876/5,349
  6. Step 6: Final answer
    x = 20,119.63

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.