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Finding the Third Proportional to 958.25 and 2,004.25

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Solution

The third proportional to 958.25 and 2,004.25 is: 4,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.25 : 2,004.25 = 2,004.25 : x
  2. Step 2: Convert to fraction form
    958.25/2,004.25 = 2,004.25/x
  3. Step 3: Cross multiply
    958.25x = 2,004.25 × 2,004.25
  4. Step 4: Simplify right side
    958.25x = 4,017,018.06
  5. Step 5: Solve for x
    x = 4,017,018.06/958.25
  6. Step 6: Final answer
    x = 4,192.04

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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.