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Finding the Third Proportional to 12,822 and 17,394

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Solution

The third proportional to 12,822 and 17,394 is: 23,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822 : 17,394 = 17,394 : x
  2. Step 2: Convert to fraction form
    12,822/17,394 = 17,394/x
  3. Step 3: Cross multiply
    12,822x = 17,394 × 17,394
  4. Step 4: Simplify right side
    12,822x = 302,551,236
  5. Step 5: Solve for x
    x = 302,551,236/12,822
  6. Step 6: Final answer
    x = 23,596.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.