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Finding the Third Proportional to 14,846 and 32,668

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Solution

The third proportional to 14,846 and 32,668 is: 71,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846 : 32,668 = 32,668 : x
  2. Step 2: Convert to fraction form
    14,846/32,668 = 32,668/x
  3. Step 3: Cross multiply
    14,846x = 32,668 × 32,668
  4. Step 4: Simplify right side
    14,846x = 1,067,198,224
  5. Step 5: Solve for x
    x = 1,067,198,224/14,846
  6. Step 6: Final answer
    x = 71,884.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.