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Finding the Third Proportional to 19,668 and 30,680

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Solution

The third proportional to 19,668 and 30,680 is: 47,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668 : 30,680 = 30,680 : x
  2. Step 2: Convert to fraction form
    19,668/30,680 = 30,680/x
  3. Step 3: Cross multiply
    19,668x = 30,680 × 30,680
  4. Step 4: Simplify right side
    19,668x = 941,262,400
  5. Step 5: Solve for x
    x = 941,262,400/19,668
  6. Step 6: Final answer
    x = 47,857.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.