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Finding the Third Proportional to 2,536.31 and 5,226.19

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Solution

The third proportional to 2,536.31 and 5,226.19 is: 10,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.31 : 5,226.19 = 5,226.19 : x
  2. Step 2: Convert to fraction form
    2,536.31/5,226.19 = 5,226.19/x
  3. Step 3: Cross multiply
    2,536.31x = 5,226.19 × 5,226.19
  4. Step 4: Simplify right side
    2,536.31x = 27,313,035.79
  5. Step 5: Solve for x
    x = 27,313,035.79/2,536.31
  6. Step 6: Final answer
    x = 10,768.80

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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.