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Finding the Third Proportional to 8,451 and 20,334

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Solution

The third proportional to 8,451 and 20,334 is: 48,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451 : 20,334 = 20,334 : x
  2. Step 2: Convert to fraction form
    8,451/20,334 = 20,334/x
  3. Step 3: Cross multiply
    8,451x = 20,334 × 20,334
  4. Step 4: Simplify right side
    8,451x = 413,471,556
  5. Step 5: Solve for x
    x = 413,471,556/8,451
  6. Step 6: Final answer
    x = 48,925.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.