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Finding the Third Proportional to 6,830 and 14,822

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Solution

The third proportional to 6,830 and 14,822 is: 32,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 14,822 = 14,822 : x
  2. Step 2: Convert to fraction form
    6,830/14,822 = 14,822/x
  3. Step 3: Cross multiply
    6,830x = 14,822 × 14,822
  4. Step 4: Simplify right side
    6,830x = 219,691,684
  5. Step 5: Solve for x
    x = 219,691,684/6,830
  6. Step 6: Final answer
    x = 32,165.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.