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Finding the Third Proportional to 942.25 and 1,423.25

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Solution

The third proportional to 942.25 and 1,423.25 is: 2,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.25 : 1,423.25 = 1,423.25 : x
  2. Step 2: Convert to fraction form
    942.25/1,423.25 = 1,423.25/x
  3. Step 3: Cross multiply
    942.25x = 1,423.25 × 1,423.25
  4. Step 4: Simplify right side
    942.25x = 2,025,640.56
  5. Step 5: Solve for x
    x = 2,025,640.56/942.25
  6. Step 6: Final answer
    x = 2,149.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.