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Finding the Third Proportional to 942.26 and 2,182.57

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Solution

The third proportional to 942.26 and 2,182.57 is: 5,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.26 : 2,182.57 = 2,182.57 : x
  2. Step 2: Convert to fraction form
    942.26/2,182.57 = 2,182.57/x
  3. Step 3: Cross multiply
    942.26x = 2,182.57 × 2,182.57
  4. Step 4: Simplify right side
    942.26x = 4,763,613.17
  5. Step 5: Solve for x
    x = 4,763,613.17/942.26
  6. Step 6: Final answer
    x = 5,055.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.