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Finding the Third Proportional to 2,107.27 and 3,717.14

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Solution

The third proportional to 2,107.27 and 3,717.14 is: 6,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.27 : 3,717.14 = 3,717.14 : x
  2. Step 2: Convert to fraction form
    2,107.27/3,717.14 = 3,717.14/x
  3. Step 3: Cross multiply
    2,107.27x = 3,717.14 × 3,717.14
  4. Step 4: Simplify right side
    2,107.27x = 13,817,134.43
  5. Step 5: Solve for x
    x = 13,817,134.43/2,107.27
  6. Step 6: Final answer
    x = 6,556.90

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.