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Finding the Third Proportional to 7,922 and 11,822

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Solution

The third proportional to 7,922 and 11,822 is: 17,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922 : 11,822 = 11,822 : x
  2. Step 2: Convert to fraction form
    7,922/11,822 = 11,822/x
  3. Step 3: Cross multiply
    7,922x = 11,822 × 11,822
  4. Step 4: Simplify right side
    7,922x = 139,759,684
  5. Step 5: Solve for x
    x = 139,759,684/7,922
  6. Step 6: Final answer
    x = 17,641.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.