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Finding the Third Proportional to 2,367.14 and 2,620.27

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Solution

The third proportional to 2,367.14 and 2,620.27 is: 2,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.14 : 2,620.27 = 2,620.27 : x
  2. Step 2: Convert to fraction form
    2,367.14/2,620.27 = 2,620.27/x
  3. Step 3: Cross multiply
    2,367.14x = 2,620.27 × 2,620.27
  4. Step 4: Simplify right side
    2,367.14x = 6,865,791.95
  5. Step 5: Solve for x
    x = 6,865,791.95/2,367.14
  6. Step 6: Final answer
    x = 2,900.46

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.