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Finding the Third Proportional to 3,205.13 and 5,136.19

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Solution

The third proportional to 3,205.13 and 5,136.19 is: 8,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.13 : 5,136.19 = 5,136.19 : x
  2. Step 2: Convert to fraction form
    3,205.13/5,136.19 = 5,136.19/x
  3. Step 3: Cross multiply
    3,205.13x = 5,136.19 × 5,136.19
  4. Step 4: Simplify right side
    3,205.13x = 26,380,422.04
  5. Step 5: Solve for x
    x = 26,380,422.04/3,205.13
  6. Step 6: Final answer
    x = 8,230.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.