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Finding the Third Proportional to 10,249.03 and 22,414.22

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Solution

The third proportional to 10,249.03 and 22,414.22 is: 49,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.03 : 22,414.22 = 22,414.22 : x
  2. Step 2: Convert to fraction form
    10,249.03/22,414.22 = 22,414.22/x
  3. Step 3: Cross multiply
    10,249.03x = 22,414.22 × 22,414.22
  4. Step 4: Simplify right side
    10,249.03x = 502,397,202.17
  5. Step 5: Solve for x
    x = 502,397,202.17/10,249.03
  6. Step 6: Final answer
    x = 49,018.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.