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Finding the Third Proportional to 19,668 and 43,287

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Solution

The third proportional to 19,668 and 43,287 is: 95,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668 : 43,287 = 43,287 : x
  2. Step 2: Convert to fraction form
    19,668/43,287 = 43,287/x
  3. Step 3: Cross multiply
    19,668x = 43,287 × 43,287
  4. Step 4: Simplify right side
    19,668x = 1,873,764,369
  5. Step 5: Solve for x
    x = 1,873,764,369/19,668
  6. Step 6: Final answer
    x = 95,269.70

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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.