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Finding the Third Proportional to 31,223 and 44,206

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Solution

The third proportional to 31,223 and 44,206 is: 62,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223 : 44,206 = 44,206 : x
  2. Step 2: Convert to fraction form
    31,223/44,206 = 44,206/x
  3. Step 3: Cross multiply
    31,223x = 44,206 × 44,206
  4. Step 4: Simplify right side
    31,223x = 1,954,170,436
  5. Step 5: Solve for x
    x = 1,954,170,436/31,223
  6. Step 6: Final answer
    x = 62,587.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.