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Finding the Third Proportional to 12,338.44 and 27,136.69

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Solution

The third proportional to 12,338.44 and 27,136.69 is: 59,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.44 : 27,136.69 = 27,136.69 : x
  2. Step 2: Convert to fraction form
    12,338.44/27,136.69 = 27,136.69/x
  3. Step 3: Cross multiply
    12,338.44x = 27,136.69 × 27,136.69
  4. Step 4: Simplify right side
    12,338.44x = 736,399,808.47
  5. Step 5: Solve for x
    x = 736,399,808.47/12,338.44
  6. Step 6: Final answer
    x = 59,683.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.