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Finding the Third Proportional to 23,223 and 49,443

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Solution

The third proportional to 23,223 and 49,443 is: 105,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223 : 49,443 = 49,443 : x
  2. Step 2: Convert to fraction form
    23,223/49,443 = 49,443/x
  3. Step 3: Cross multiply
    23,223x = 49,443 × 49,443
  4. Step 4: Simplify right side
    23,223x = 2,444,610,249
  5. Step 5: Solve for x
    x = 2,444,610,249/23,223
  6. Step 6: Final answer
    x = 105,266.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.