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Finding the Third Proportional to 4,168.97 and 6,114.23

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Solution

The third proportional to 4,168.97 and 6,114.23 is: 8,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.97 : 6,114.23 = 6,114.23 : x
  2. Step 2: Convert to fraction form
    4,168.97/6,114.23 = 6,114.23/x
  3. Step 3: Cross multiply
    4,168.97x = 6,114.23 × 6,114.23
  4. Step 4: Simplify right side
    4,168.97x = 37,383,861.99
  5. Step 5: Solve for x
    x = 37,383,861.99/4,168.97
  6. Step 6: Final answer
    x = 8,967.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.