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Finding the Third Proportional to 3,150.98 and 4,159.27

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Solution

The third proportional to 3,150.98 and 4,159.27 is: 5,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.98 : 4,159.27 = 4,159.27 : x
  2. Step 2: Convert to fraction form
    3,150.98/4,159.27 = 4,159.27/x
  3. Step 3: Cross multiply
    3,150.98x = 4,159.27 × 4,159.27
  4. Step 4: Simplify right side
    3,150.98x = 17,299,490.54
  5. Step 5: Solve for x
    x = 17,299,490.54/3,150.98
  6. Step 6: Final answer
    x = 5,490.19

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.