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Finding the Third Proportional to 6,821 and 10,232

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Solution

The third proportional to 6,821 and 10,232 is: 15,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821 : 10,232 = 10,232 : x
  2. Step 2: Convert to fraction form
    6,821/10,232 = 10,232/x
  3. Step 3: Cross multiply
    6,821x = 10,232 × 10,232
  4. Step 4: Simplify right side
    6,821x = 104,693,824
  5. Step 5: Solve for x
    x = 104,693,824/6,821
  6. Step 6: Final answer
    x = 15,348.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.