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Finding the Third Proportional to 5,434 and 9,812

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Solution

The third proportional to 5,434 and 9,812 is: 17,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 9,812 = 9,812 : x
  2. Step 2: Convert to fraction form
    5,434/9,812 = 9,812/x
  3. Step 3: Cross multiply
    5,434x = 9,812 × 9,812
  4. Step 4: Simplify right side
    5,434x = 96,275,344
  5. Step 5: Solve for x
    x = 96,275,344/5,434
  6. Step 6: Final answer
    x = 17,717.21

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.