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Finding the Third Proportional to 18,772 and 40,668

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Solution

The third proportional to 18,772 and 40,668 is: 88,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,772 : 40,668 = 40,668 : x
  2. Step 2: Convert to fraction form
    18,772/40,668 = 40,668/x
  3. Step 3: Cross multiply
    18,772x = 40,668 × 40,668
  4. Step 4: Simplify right side
    18,772x = 1,653,886,224
  5. Step 5: Solve for x
    x = 1,653,886,224/18,772
  6. Step 6: Final answer
    x = 88,103.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.