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Finding the Third Proportional to 23,243 and 47,722

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Solution

The third proportional to 23,243 and 47,722 is: 97,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,243 : 47,722 = 47,722 : x
  2. Step 2: Convert to fraction form
    23,243/47,722 = 47,722/x
  3. Step 3: Cross multiply
    23,243x = 47,722 × 47,722
  4. Step 4: Simplify right side
    23,243x = 2,277,389,284
  5. Step 5: Solve for x
    x = 2,277,389,284/23,243
  6. Step 6: Final answer
    x = 97,981.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.