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Finding the Third Proportional to 22,223 and 31,444

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Solution

The third proportional to 22,223 and 31,444 is: 44,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223 : 31,444 = 31,444 : x
  2. Step 2: Convert to fraction form
    22,223/31,444 = 31,444/x
  3. Step 3: Cross multiply
    22,223x = 31,444 × 31,444
  4. Step 4: Simplify right side
    22,223x = 988,725,136
  5. Step 5: Solve for x
    x = 988,725,136/22,223
  6. Step 6: Final answer
    x = 44,491.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.