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Finding the Third Proportional to 31,223 and 40,512

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Solution

The third proportional to 31,223 and 40,512 is: 52,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223 : 40,512 = 40,512 : x
  2. Step 2: Convert to fraction form
    31,223/40,512 = 40,512/x
  3. Step 3: Cross multiply
    31,223x = 40,512 × 40,512
  4. Step 4: Simplify right side
    31,223x = 1,641,222,144
  5. Step 5: Solve for x
    x = 1,641,222,144/31,223
  6. Step 6: Final answer
    x = 52,564.52

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.