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Finding the Third Proportional to 19,676 and 27,822

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Solution

The third proportional to 19,676 and 27,822 is: 39,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676 : 27,822 = 27,822 : x
  2. Step 2: Convert to fraction form
    19,676/27,822 = 27,822/x
  3. Step 3: Cross multiply
    19,676x = 27,822 × 27,822
  4. Step 4: Simplify right side
    19,676x = 774,063,684
  5. Step 5: Solve for x
    x = 774,063,684/19,676
  6. Step 6: Final answer
    x = 39,340.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.