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Finding the Third Proportional to 12,061 and 19,186

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Solution

The third proportional to 12,061 and 19,186 is: 30,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,061 : 19,186 = 19,186 : x
  2. Step 2: Convert to fraction form
    12,061/19,186 = 19,186/x
  3. Step 3: Cross multiply
    12,061x = 19,186 × 19,186
  4. Step 4: Simplify right side
    12,061x = 368,102,596
  5. Step 5: Solve for x
    x = 368,102,596/12,061
  6. Step 6: Final answer
    x = 30,520.07

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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.