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Finding the Third Proportional to 985.50 and 2,004.75

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Solution

The third proportional to 985.50 and 2,004.75 is: 4,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.50 : 2,004.75 = 2,004.75 : x
  2. Step 2: Convert to fraction form
    985.50/2,004.75 = 2,004.75/x
  3. Step 3: Cross multiply
    985.50x = 2,004.75 × 2,004.75
  4. Step 4: Simplify right side
    985.50x = 4,019,022.56
  5. Step 5: Solve for x
    x = 4,019,022.56/985.50
  6. Step 6: Final answer
    x = 4,078.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.