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Finding the Third Proportional to 2,667.94 and 6,140.81

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Solution

The third proportional to 2,667.94 and 6,140.81 is: 14,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.94 : 6,140.81 = 6,140.81 : x
  2. Step 2: Convert to fraction form
    2,667.94/6,140.81 = 6,140.81/x
  3. Step 3: Cross multiply
    2,667.94x = 6,140.81 × 6,140.81
  4. Step 4: Simplify right side
    2,667.94x = 37,709,578.16
  5. Step 5: Solve for x
    x = 37,709,578.16/2,667.94
  6. Step 6: Final answer
    x = 14,134.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.