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Finding the Third Proportional to 16,098 and 22,668

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Solution

The third proportional to 16,098 and 22,668 is: 31,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098 : 22,668 = 22,668 : x
  2. Step 2: Convert to fraction form
    16,098/22,668 = 22,668/x
  3. Step 3: Cross multiply
    16,098x = 22,668 × 22,668
  4. Step 4: Simplify right side
    16,098x = 513,838,224
  5. Step 5: Solve for x
    x = 513,838,224/16,098
  6. Step 6: Final answer
    x = 31,919.38

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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.