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Finding the Third Proportional to 958.71 and 2,014.24

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Solution

The third proportional to 958.71 and 2,014.24 is: 4,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.71 : 2,014.24 = 2,014.24 : x
  2. Step 2: Convert to fraction form
    958.71/2,014.24 = 2,014.24/x
  3. Step 3: Cross multiply
    958.71x = 2,014.24 × 2,014.24
  4. Step 4: Simplify right side
    958.71x = 4,057,171.59
  5. Step 5: Solve for x
    x = 4,057,171.59/958.71
  6. Step 6: Final answer
    x = 4,231.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.