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Finding the Third Proportional to 10,202.25 and 21,519

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Solution

The third proportional to 10,202.25 and 21,519 is: 45,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.25 : 21,519 = 21,519 : x
  2. Step 2: Convert to fraction form
    10,202.25/21,519 = 21,519/x
  3. Step 3: Cross multiply
    10,202.25x = 21,519 × 21,519
  4. Step 4: Simplify right side
    10,202.25x = 463,067,361
  5. Step 5: Solve for x
    x = 463,067,361/10,202.25
  6. Step 6: Final answer
    x = 45,388.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.