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Finding the Third Proportional to 2,890.27 and 6,190.17

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Solution

The third proportional to 2,890.27 and 6,190.17 is: 13,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.27 : 6,190.17 = 6,190.17 : x
  2. Step 2: Convert to fraction form
    2,890.27/6,190.17 = 6,190.17/x
  3. Step 3: Cross multiply
    2,890.27x = 6,190.17 × 6,190.17
  4. Step 4: Simplify right side
    2,890.27x = 38,318,227.84
  5. Step 5: Solve for x
    x = 38,318,227.84/2,890.27
  6. Step 6: Final answer
    x = 13,257.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.