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Finding the Third Proportional to 23,043 and 49,722

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Solution

The third proportional to 23,043 and 49,722 is: 107,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043 : 49,722 = 49,722 : x
  2. Step 2: Convert to fraction form
    23,043/49,722 = 49,722/x
  3. Step 3: Cross multiply
    23,043x = 49,722 × 49,722
  4. Step 4: Simplify right side
    23,043x = 2,472,277,284
  5. Step 5: Solve for x
    x = 2,472,277,284/23,043
  6. Step 6: Final answer
    x = 107,289.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.