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Finding the Third Proportional to 14,035 and 30,451

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Solution

The third proportional to 14,035 and 30,451 is: 66,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035 : 30,451 = 30,451 : x
  2. Step 2: Convert to fraction form
    14,035/30,451 = 30,451/x
  3. Step 3: Cross multiply
    14,035x = 30,451 × 30,451
  4. Step 4: Simplify right side
    14,035x = 927,263,401
  5. Step 5: Solve for x
    x = 927,263,401/14,035
  6. Step 6: Final answer
    x = 66,067.93

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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.