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Finding the Third Proportional to 3,102.47 and 6,049.27

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Solution

The third proportional to 3,102.47 and 6,049.27 is: 11,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.47 : 6,049.27 = 6,049.27 : x
  2. Step 2: Convert to fraction form
    3,102.47/6,049.27 = 6,049.27/x
  3. Step 3: Cross multiply
    3,102.47x = 6,049.27 × 6,049.27
  4. Step 4: Simplify right side
    3,102.47x = 36,593,614.60
  5. Step 5: Solve for x
    x = 36,593,614.60/3,102.47
  6. Step 6: Final answer
    x = 11,795.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.