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Finding the Third Proportional to 23,382 and 50,651

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Solution

The third proportional to 23,382 and 50,651 is: 109,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382 : 50,651 = 50,651 : x
  2. Step 2: Convert to fraction form
    23,382/50,651 = 50,651/x
  3. Step 3: Cross multiply
    23,382x = 50,651 × 50,651
  4. Step 4: Simplify right side
    23,382x = 2,565,523,801
  5. Step 5: Solve for x
    x = 2,565,523,801/23,382
  6. Step 6: Final answer
    x = 109,722.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.