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Finding the Third Proportional to 3,136.69 and 6,790.24

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Solution

The third proportional to 3,136.69 and 6,790.24 is: 14,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.69 : 6,790.24 = 6,790.24 : x
  2. Step 2: Convert to fraction form
    3,136.69/6,790.24 = 6,790.24/x
  3. Step 3: Cross multiply
    3,136.69x = 6,790.24 × 6,790.24
  4. Step 4: Simplify right side
    3,136.69x = 46,107,309.39
  5. Step 5: Solve for x
    x = 46,107,309.39/3,136.69
  6. Step 6: Final answer
    x = 14,699.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.