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Finding the Third Proportional to 8,281 and 16,147

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Solution

The third proportional to 8,281 and 16,147 is: 31,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281 : 16,147 = 16,147 : x
  2. Step 2: Convert to fraction form
    8,281/16,147 = 16,147/x
  3. Step 3: Cross multiply
    8,281x = 16,147 × 16,147
  4. Step 4: Simplify right side
    8,281x = 260,725,609
  5. Step 5: Solve for x
    x = 260,725,609/8,281
  6. Step 6: Final answer
    x = 31,484.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.