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Finding the Third Proportional to 8,416 and 17,743

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Solution

The third proportional to 8,416 and 17,743 is: 37,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 17,743 = 17,743 : x
  2. Step 2: Convert to fraction form
    8,416/17,743 = 17,743/x
  3. Step 3: Cross multiply
    8,416x = 17,743 × 17,743
  4. Step 4: Simplify right side
    8,416x = 314,814,049
  5. Step 5: Solve for x
    x = 314,814,049/8,416
  6. Step 6: Final answer
    x = 37,406.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.