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Finding the Third Proportional to 16,753 and 35,451

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Solution

The third proportional to 16,753 and 35,451 is: 75,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753 : 35,451 = 35,451 : x
  2. Step 2: Convert to fraction form
    16,753/35,451 = 35,451/x
  3. Step 3: Cross multiply
    16,753x = 35,451 × 35,451
  4. Step 4: Simplify right side
    16,753x = 1,256,773,401
  5. Step 5: Solve for x
    x = 1,256,773,401/16,753
  6. Step 6: Final answer
    x = 75,017.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.