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Finding the Third Proportional to 33,725 and 52,451

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Solution

The third proportional to 33,725 and 52,451 is: 81,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725 : 52,451 = 52,451 : x
  2. Step 2: Convert to fraction form
    33,725/52,451 = 52,451/x
  3. Step 3: Cross multiply
    33,725x = 52,451 × 52,451
  4. Step 4: Simplify right side
    33,725x = 2,751,107,401
  5. Step 5: Solve for x
    x = 2,751,107,401/33,725
  6. Step 6: Final answer
    x = 81,574.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.