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Finding the Third Proportional to 23,693 and 51,626

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Solution

The third proportional to 23,693 and 51,626 is: 112,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693 : 51,626 = 51,626 : x
  2. Step 2: Convert to fraction form
    23,693/51,626 = 51,626/x
  3. Step 3: Cross multiply
    23,693x = 51,626 × 51,626
  4. Step 4: Simplify right side
    23,693x = 2,665,243,876
  5. Step 5: Solve for x
    x = 2,665,243,876/23,693
  6. Step 6: Final answer
    x = 112,490.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.