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Finding the Third Proportional to 12,116 and 17,182

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Solution

The third proportional to 12,116 and 17,182 is: 24,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116 : 17,182 = 17,182 : x
  2. Step 2: Convert to fraction form
    12,116/17,182 = 17,182/x
  3. Step 3: Cross multiply
    12,116x = 17,182 × 17,182
  4. Step 4: Simplify right side
    12,116x = 295,221,124
  5. Step 5: Solve for x
    x = 295,221,124/12,116
  6. Step 6: Final answer
    x = 24,366.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.