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Finding the Third Proportional to 8,494 and 19,540

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Solution

The third proportional to 8,494 and 19,540 is: 44,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494 : 19,540 = 19,540 : x
  2. Step 2: Convert to fraction form
    8,494/19,540 = 19,540/x
  3. Step 3: Cross multiply
    8,494x = 19,540 × 19,540
  4. Step 4: Simplify right side
    8,494x = 381,811,600
  5. Step 5: Solve for x
    x = 381,811,600/8,494
  6. Step 6: Final answer
    x = 44,950.74

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.