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Finding the Third Proportional to 4,114.13 and 6,179.63

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Solution

The third proportional to 4,114.13 and 6,179.63 is: 9,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 6,179.63 = 6,179.63 : x
  2. Step 2: Convert to fraction form
    4,114.13/6,179.63 = 6,179.63/x
  3. Step 3: Cross multiply
    4,114.13x = 6,179.63 × 6,179.63
  4. Step 4: Simplify right side
    4,114.13x = 38,187,765.14
  5. Step 5: Solve for x
    x = 38,187,765.14/4,114.13
  6. Step 6: Final answer
    x = 9,282.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.