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Finding the Third Proportional to 10,198 and 21,051

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Solution

The third proportional to 10,198 and 21,051 is: 43,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198 : 21,051 = 21,051 : x
  2. Step 2: Convert to fraction form
    10,198/21,051 = 21,051/x
  3. Step 3: Cross multiply
    10,198x = 21,051 × 21,051
  4. Step 4: Simplify right side
    10,198x = 443,144,601
  5. Step 5: Solve for x
    x = 443,144,601/10,198
  6. Step 6: Final answer
    x = 43,454.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.