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Finding the Third Proportional to 2,107.27 and 3,035.60

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Solution

The third proportional to 2,107.27 and 3,035.60 is: 4,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.27 : 3,035.60 = 3,035.60 : x
  2. Step 2: Convert to fraction form
    2,107.27/3,035.60 = 3,035.60/x
  3. Step 3: Cross multiply
    2,107.27x = 3,035.60 × 3,035.60
  4. Step 4: Simplify right side
    2,107.27x = 9,214,876.85
  5. Step 5: Solve for x
    x = 9,214,876.85/2,107.27
  6. Step 6: Final answer
    x = 4,372.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.