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Finding the Third Proportional to 5,269 and 10,721

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Solution

The third proportional to 5,269 and 10,721 is: 21,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269 : 10,721 = 10,721 : x
  2. Step 2: Convert to fraction form
    5,269/10,721 = 10,721/x
  3. Step 3: Cross multiply
    5,269x = 10,721 × 10,721
  4. Step 4: Simplify right side
    5,269x = 114,939,841
  5. Step 5: Solve for x
    x = 114,939,841/5,269
  6. Step 6: Final answer
    x = 21,814.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.