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Finding the Third Proportional to 10,190.25 and 21,494.25

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Solution

The third proportional to 10,190.25 and 21,494.25 is: 45,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.25 : 21,494.25 = 21,494.25 : x
  2. Step 2: Convert to fraction form
    10,190.25/21,494.25 = 21,494.25/x
  3. Step 3: Cross multiply
    10,190.25x = 21,494.25 × 21,494.25
  4. Step 4: Simplify right side
    10,190.25x = 462,002,783.06
  5. Step 5: Solve for x
    x = 462,002,783.06/10,190.25
  6. Step 6: Final answer
    x = 45,337.73

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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.