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Finding the Third Proportional to 5,822 and 9,379

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Solution

The third proportional to 5,822 and 9,379 is: 15,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822 : 9,379 = 9,379 : x
  2. Step 2: Convert to fraction form
    5,822/9,379 = 9,379/x
  3. Step 3: Cross multiply
    5,822x = 9,379 × 9,379
  4. Step 4: Simplify right side
    5,822x = 87,965,641
  5. Step 5: Solve for x
    x = 87,965,641/5,822
  6. Step 6: Final answer
    x = 15,109.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.