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Finding the Third Proportional to 6,789.94 and 9,136.97

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Solution

The third proportional to 6,789.94 and 9,136.97 is: 12,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.94 : 9,136.97 = 9,136.97 : x
  2. Step 2: Convert to fraction form
    6,789.94/9,136.97 = 9,136.97/x
  3. Step 3: Cross multiply
    6,789.94x = 9,136.97 × 9,136.97
  4. Step 4: Simplify right side
    6,789.94x = 83,484,197.94
  5. Step 5: Solve for x
    x = 83,484,197.94/6,789.94
  6. Step 6: Final answer
    x = 12,295.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.