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Finding the Third Proportional to 9,433.69 and 19,474.31

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Solution

The third proportional to 9,433.69 and 19,474.31 is: 40,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.69 : 19,474.31 = 19,474.31 : x
  2. Step 2: Convert to fraction form
    9,433.69/19,474.31 = 19,474.31/x
  3. Step 3: Cross multiply
    9,433.69x = 19,474.31 × 19,474.31
  4. Step 4: Simplify right side
    9,433.69x = 379,248,847.35
  5. Step 5: Solve for x
    x = 379,248,847.35/9,433.69
  6. Step 6: Final answer
    x = 40,201.55

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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.