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Finding the Third Proportional to 23,401 and 51,338

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Solution

The third proportional to 23,401 and 51,338 is: 112,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,401 : 51,338 = 51,338 : x
  2. Step 2: Convert to fraction form
    23,401/51,338 = 51,338/x
  3. Step 3: Cross multiply
    23,401x = 51,338 × 51,338
  4. Step 4: Simplify right side
    23,401x = 2,635,590,244
  5. Step 5: Solve for x
    x = 2,635,590,244/23,401
  6. Step 6: Final answer
    x = 112,627.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.