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Finding the Third Proportional to 8,116 and 16,484

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Solution

The third proportional to 8,116 and 16,484 is: 33,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116 : 16,484 = 16,484 : x
  2. Step 2: Convert to fraction form
    8,116/16,484 = 16,484/x
  3. Step 3: Cross multiply
    8,116x = 16,484 × 16,484
  4. Step 4: Simplify right side
    8,116x = 271,722,256
  5. Step 5: Solve for x
    x = 271,722,256/8,116
  6. Step 6: Final answer
    x = 33,479.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.