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Finding the Third Proportional to 2,824 and 7,663

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Solution

The third proportional to 2,824 and 7,663 is: 20,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824 : 7,663 = 7,663 : x
  2. Step 2: Convert to fraction form
    2,824/7,663 = 7,663/x
  3. Step 3: Cross multiply
    2,824x = 7,663 × 7,663
  4. Step 4: Simplify right side
    2,824x = 58,721,569
  5. Step 5: Solve for x
    x = 58,721,569/2,824
  6. Step 6: Final answer
    x = 20,793.76

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.