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Finding the Third Proportional to 9,860.44 and 21,224.44

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Solution

The third proportional to 9,860.44 and 21,224.44 is: 45,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.44 : 21,224.44 = 21,224.44 : x
  2. Step 2: Convert to fraction form
    9,860.44/21,224.44 = 21,224.44/x
  3. Step 3: Cross multiply
    9,860.44x = 21,224.44 × 21,224.44
  4. Step 4: Simplify right side
    9,860.44x = 450,476,747.19
  5. Step 5: Solve for x
    x = 450,476,747.19/9,860.44
  6. Step 6: Final answer
    x = 45,685.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.