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Finding the Third Proportional to 10,190.25 and 21,035.25

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Solution

The third proportional to 10,190.25 and 21,035.25 is: 43,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.25 : 21,035.25 = 21,035.25 : x
  2. Step 2: Convert to fraction form
    10,190.25/21,035.25 = 21,035.25/x
  3. Step 3: Cross multiply
    10,190.25x = 21,035.25 × 21,035.25
  4. Step 4: Simplify right side
    10,190.25x = 442,481,742.56
  5. Step 5: Solve for x
    x = 442,481,742.56/10,190.25
  6. Step 6: Final answer
    x = 43,422.07

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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.