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Finding the Third Proportional to 2,059.25 and 3,204.19

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Solution

The third proportional to 2,059.25 and 3,204.19 is: 4,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.25 : 3,204.19 = 3,204.19 : x
  2. Step 2: Convert to fraction form
    2,059.25/3,204.19 = 3,204.19/x
  3. Step 3: Cross multiply
    2,059.25x = 3,204.19 × 3,204.19
  4. Step 4: Simplify right side
    2,059.25x = 10,266,817.54
  5. Step 5: Solve for x
    x = 10,266,817.54/2,059.25
  6. Step 6: Final answer
    x = 4,985.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.