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Finding the Third Proportional to 35,571 and 53,451

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Solution

The third proportional to 35,571 and 53,451 is: 80,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,571 : 53,451 = 53,451 : x
  2. Step 2: Convert to fraction form
    35,571/53,451 = 53,451/x
  3. Step 3: Cross multiply
    35,571x = 53,451 × 53,451
  4. Step 4: Simplify right side
    35,571x = 2,857,009,401
  5. Step 5: Solve for x
    x = 2,857,009,401/35,571
  6. Step 6: Final answer
    x = 80,318.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.