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Finding the Third Proportional to 14,794.50 and 32,451

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Solution

The third proportional to 14,794.50 and 32,451 is: 71,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.50 : 32,451 = 32,451 : x
  2. Step 2: Convert to fraction form
    14,794.50/32,451 = 32,451/x
  3. Step 3: Cross multiply
    14,794.50x = 32,451 × 32,451
  4. Step 4: Simplify right side
    14,794.50x = 1,053,067,401
  5. Step 5: Solve for x
    x = 1,053,067,401/14,794.50
  6. Step 6: Final answer
    x = 71,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.