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Finding the Third Proportional to 942.25 and 2,005.75

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Solution

The third proportional to 942.25 and 2,005.75 is: 4,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.25 : 2,005.75 = 2,005.75 : x
  2. Step 2: Convert to fraction form
    942.25/2,005.75 = 2,005.75/x
  3. Step 3: Cross multiply
    942.25x = 2,005.75 × 2,005.75
  4. Step 4: Simplify right side
    942.25x = 4,023,033.06
  5. Step 5: Solve for x
    x = 4,023,033.06/942.25
  6. Step 6: Final answer
    x = 4,269.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.