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Finding the Third Proportional to 8,014 and 17,212

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Solution

The third proportional to 8,014 and 17,212 is: 36,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014 : 17,212 = 17,212 : x
  2. Step 2: Convert to fraction form
    8,014/17,212 = 17,212/x
  3. Step 3: Cross multiply
    8,014x = 17,212 × 17,212
  4. Step 4: Simplify right side
    8,014x = 296,252,944
  5. Step 5: Solve for x
    x = 296,252,944/8,014
  6. Step 6: Final answer
    x = 36,966.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.