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Finding the Third Proportional to 4,136.06 and 6,201.56

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Solution

The third proportional to 4,136.06 and 6,201.56 is: 9,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.06 : 6,201.56 = 6,201.56 : x
  2. Step 2: Convert to fraction form
    4,136.06/6,201.56 = 6,201.56/x
  3. Step 3: Cross multiply
    4,136.06x = 6,201.56 × 6,201.56
  4. Step 4: Simplify right side
    4,136.06x = 38,459,377.44
  5. Step 5: Solve for x
    x = 38,459,377.44/4,136.06
  6. Step 6: Final answer
    x = 9,298.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.