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Finding the Third Proportional to 23,375 and 50,638

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Solution

The third proportional to 23,375 and 50,638 is: 109,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,375 : 50,638 = 50,638 : x
  2. Step 2: Convert to fraction form
    23,375/50,638 = 50,638/x
  3. Step 3: Cross multiply
    23,375x = 50,638 × 50,638
  4. Step 4: Simplify right side
    23,375x = 2,564,207,044
  5. Step 5: Solve for x
    x = 2,564,207,044/23,375
  6. Step 6: Final answer
    x = 109,698.70

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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.