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Finding the Third Proportional to 3,086.02 and 4,190.91

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Solution

The third proportional to 3,086.02 and 4,190.91 is: 5,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.02 : 4,190.91 = 4,190.91 : x
  2. Step 2: Convert to fraction form
    3,086.02/4,190.91 = 4,190.91/x
  3. Step 3: Cross multiply
    3,086.02x = 4,190.91 × 4,190.91
  4. Step 4: Simplify right side
    3,086.02x = 17,563,695.20
  5. Step 5: Solve for x
    x = 17,563,695.20/3,086.02
  6. Step 6: Final answer
    x = 5,691.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.