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Finding the Third Proportional to 5,822 and 6,302

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Solution

The third proportional to 5,822 and 6,302 is: 6,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822 : 6,302 = 6,302 : x
  2. Step 2: Convert to fraction form
    5,822/6,302 = 6,302/x
  3. Step 3: Cross multiply
    5,822x = 6,302 × 6,302
  4. Step 4: Simplify right side
    5,822x = 39,715,204
  5. Step 5: Solve for x
    x = 39,715,204/5,822
  6. Step 6: Final answer
    x = 6,821.57

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.