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Finding the Third Proportional to 9,812 and 16,478

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Solution

The third proportional to 9,812 and 16,478 is: 27,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812 : 16,478 = 16,478 : x
  2. Step 2: Convert to fraction form
    9,812/16,478 = 16,478/x
  3. Step 3: Cross multiply
    9,812x = 16,478 × 16,478
  4. Step 4: Simplify right side
    9,812x = 271,524,484
  5. Step 5: Solve for x
    x = 271,524,484/9,812
  6. Step 6: Final answer
    x = 27,672.70

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.