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Finding the Third Proportional to 4,136.06 and 5,556.09

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Solution

The third proportional to 4,136.06 and 5,556.09 is: 7,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.06 : 5,556.09 = 5,556.09 : x
  2. Step 2: Convert to fraction form
    4,136.06/5,556.09 = 5,556.09/x
  3. Step 3: Cross multiply
    4,136.06x = 5,556.09 × 5,556.09
  4. Step 4: Simplify right side
    4,136.06x = 30,870,177.76
  5. Step 5: Solve for x
    x = 30,870,177.76/4,136.06
  6. Step 6: Final answer
    x = 7,463.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.