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Finding the Third Proportional to 8,238.38 and 16,068.38

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Solution

The third proportional to 8,238.38 and 16,068.38 is: 31,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.38 : 16,068.38 = 16,068.38 : x
  2. Step 2: Convert to fraction form
    8,238.38/16,068.38 = 16,068.38/x
  3. Step 3: Cross multiply
    8,238.38x = 16,068.38 × 16,068.38
  4. Step 4: Simplify right side
    8,238.38x = 258,192,675.14
  5. Step 5: Solve for x
    x = 258,192,675.14/8,238.38
  6. Step 6: Final answer
    x = 31,340.24

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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.