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Finding the Third Proportional to 8,634 and 17,822

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Solution

The third proportional to 8,634 and 17,822 is: 36,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634 : 17,822 = 17,822 : x
  2. Step 2: Convert to fraction form
    8,634/17,822 = 17,822/x
  3. Step 3: Cross multiply
    8,634x = 17,822 × 17,822
  4. Step 4: Simplify right side
    8,634x = 317,623,684
  5. Step 5: Solve for x
    x = 317,623,684/8,634
  6. Step 6: Final answer
    x = 36,787.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.