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Finding the Third Proportional to 4,974 and 8,451

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Solution

The third proportional to 4,974 and 8,451 is: 14,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 8,451 = 8,451 : x
  2. Step 2: Convert to fraction form
    4,974/8,451 = 8,451/x
  3. Step 3: Cross multiply
    4,974x = 8,451 × 8,451
  4. Step 4: Simplify right side
    4,974x = 71,419,401
  5. Step 5: Solve for x
    x = 71,419,401/4,974
  6. Step 6: Final answer
    x = 14,358.54

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.