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Finding the Third Proportional to 5,822 and 11,500

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Solution

The third proportional to 5,822 and 11,500 is: 22,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822 : 11,500 = 11,500 : x
  2. Step 2: Convert to fraction form
    5,822/11,500 = 11,500/x
  3. Step 3: Cross multiply
    5,822x = 11,500 × 11,500
  4. Step 4: Simplify right side
    5,822x = 132,250,000
  5. Step 5: Solve for x
    x = 132,250,000/5,822
  6. Step 6: Final answer
    x = 22,715.56

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.