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Finding the Third Proportional to 2,667.94 and 6,173.72

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Solution

The third proportional to 2,667.94 and 6,173.72 is: 14,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.94 : 6,173.72 = 6,173.72 : x
  2. Step 2: Convert to fraction form
    2,667.94/6,173.72 = 6,173.72/x
  3. Step 3: Cross multiply
    2,667.94x = 6,173.72 × 6,173.72
  4. Step 4: Simplify right side
    2,667.94x = 38,114,803.20
  5. Step 5: Solve for x
    x = 38,114,803.20/2,667.94
  6. Step 6: Final answer
    x = 14,286.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.