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Finding the Third Proportional to 12,166 and 19,302

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Solution

The third proportional to 12,166 and 19,302 is: 30,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166 : 19,302 = 19,302 : x
  2. Step 2: Convert to fraction form
    12,166/19,302 = 19,302/x
  3. Step 3: Cross multiply
    12,166x = 19,302 × 19,302
  4. Step 4: Simplify right side
    12,166x = 372,567,204
  5. Step 5: Solve for x
    x = 372,567,204/12,166
  6. Step 6: Final answer
    x = 30,623.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.