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Finding the Third Proportional to 8,392.36 and 18,269.30

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Solution

The third proportional to 8,392.36 and 18,269.30 is: 39,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.36 : 18,269.30 = 18,269.30 : x
  2. Step 2: Convert to fraction form
    8,392.36/18,269.30 = 18,269.30/x
  3. Step 3: Cross multiply
    8,392.36x = 18,269.30 × 18,269.30
  4. Step 4: Simplify right side
    8,392.36x = 333,767,208.31
  5. Step 5: Solve for x
    x = 333,767,208.31/8,392.36
  6. Step 6: Final answer
    x = 39,770.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.