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Finding the Third Proportional to 24,409 and 36,451

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Solution

The third proportional to 24,409 and 36,451 is: 54,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409 : 36,451 = 36,451 : x
  2. Step 2: Convert to fraction form
    24,409/36,451 = 36,451/x
  3. Step 3: Cross multiply
    24,409x = 36,451 × 36,451
  4. Step 4: Simplify right side
    24,409x = 1,328,675,401
  5. Step 5: Solve for x
    x = 1,328,675,401/24,409
  6. Step 6: Final answer
    x = 54,433.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.