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Finding the Third Proportional to 11,970 and 18,822

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Solution

The third proportional to 11,970 and 18,822 is: 29,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 18,822 = 18,822 : x
  2. Step 2: Convert to fraction form
    11,970/18,822 = 18,822/x
  3. Step 3: Cross multiply
    11,970x = 18,822 × 18,822
  4. Step 4: Simplify right side
    11,970x = 354,267,684
  5. Step 5: Solve for x
    x = 354,267,684/11,970
  6. Step 6: Final answer
    x = 29,596.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.