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Finding the Third Proportional to 958.24 and 2,002.38

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Solution

The third proportional to 958.24 and 2,002.38 is: 4,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.24 : 2,002.38 = 2,002.38 : x
  2. Step 2: Convert to fraction form
    958.24/2,002.38 = 2,002.38/x
  3. Step 3: Cross multiply
    958.24x = 2,002.38 × 2,002.38
  4. Step 4: Simplify right side
    958.24x = 4,009,513.46
  5. Step 5: Solve for x
    x = 4,009,513.46/958.24
  6. Step 6: Final answer
    x = 4,184.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.