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Finding the Third Proportional to 9,370.69 and 18,250.31

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Solution

The third proportional to 9,370.69 and 18,250.31 is: 35,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.69 : 18,250.31 = 18,250.31 : x
  2. Step 2: Convert to fraction form
    9,370.69/18,250.31 = 18,250.31/x
  3. Step 3: Cross multiply
    9,370.69x = 18,250.31 × 18,250.31
  4. Step 4: Simplify right side
    9,370.69x = 333,073,906.35
  5. Step 5: Solve for x
    x = 333,073,906.35/9,370.69
  6. Step 6: Final answer
    x = 35,544.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.