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Finding the Third Proportional to 12,180 and 19,126

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Solution

The third proportional to 12,180 and 19,126 is: 30,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180 : 19,126 = 19,126 : x
  2. Step 2: Convert to fraction form
    12,180/19,126 = 19,126/x
  3. Step 3: Cross multiply
    12,180x = 19,126 × 19,126
  4. Step 4: Simplify right side
    12,180x = 365,803,876
  5. Step 5: Solve for x
    x = 365,803,876/12,180
  6. Step 6: Final answer
    x = 30,033.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.