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Finding the Third Proportional to 22,008 and 32,668

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Solution

The third proportional to 22,008 and 32,668 is: 48,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,008 : 32,668 = 32,668 : x
  2. Step 2: Convert to fraction form
    22,008/32,668 = 32,668/x
  3. Step 3: Cross multiply
    22,008x = 32,668 × 32,668
  4. Step 4: Simplify right side
    22,008x = 1,067,198,224
  5. Step 5: Solve for x
    x = 1,067,198,224/22,008
  6. Step 6: Final answer
    x = 48,491.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.