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Finding the Third Proportional to 3,150.56 and 4,406.91

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Solution

The third proportional to 3,150.56 and 4,406.91 is: 6,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.56 : 4,406.91 = 4,406.91 : x
  2. Step 2: Convert to fraction form
    3,150.56/4,406.91 = 4,406.91/x
  3. Step 3: Cross multiply
    3,150.56x = 4,406.91 × 4,406.91
  4. Step 4: Simplify right side
    3,150.56x = 19,420,822.70
  5. Step 5: Solve for x
    x = 19,420,822.70/3,150.56
  6. Step 6: Final answer
    x = 6,164.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.