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Finding the Third Proportional to 8,227.51 and 17,435.57

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Solution

The third proportional to 8,227.51 and 17,435.57 is: 36,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.51 : 17,435.57 = 17,435.57 : x
  2. Step 2: Convert to fraction form
    8,227.51/17,435.57 = 17,435.57/x
  3. Step 3: Cross multiply
    8,227.51x = 17,435.57 × 17,435.57
  4. Step 4: Simplify right side
    8,227.51x = 303,998,975.91
  5. Step 5: Solve for x
    x = 303,998,975.91/8,227.51
  6. Step 6: Final answer
    x = 36,949.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.