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Finding the Third Proportional to 5,822 and 15,698

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Solution

The third proportional to 5,822 and 15,698 is: 42,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822 : 15,698 = 15,698 : x
  2. Step 2: Convert to fraction form
    5,822/15,698 = 15,698/x
  3. Step 3: Cross multiply
    5,822x = 15,698 × 15,698
  4. Step 4: Simplify right side
    5,822x = 246,427,204
  5. Step 5: Solve for x
    x = 246,427,204/5,822
  6. Step 6: Final answer
    x = 42,326.90

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.