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Finding the Third Proportional to 16,668 and 24,822

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Solution

The third proportional to 16,668 and 24,822 is: 36,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,668 : 24,822 = 24,822 : x
  2. Step 2: Convert to fraction form
    16,668/24,822 = 24,822/x
  3. Step 3: Cross multiply
    16,668x = 24,822 × 24,822
  4. Step 4: Simplify right side
    16,668x = 616,131,684
  5. Step 5: Solve for x
    x = 616,131,684/16,668
  6. Step 6: Final answer
    x = 36,964.94

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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.