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Finding the Third Proportional to 12,414 and 27,096

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Solution

The third proportional to 12,414 and 27,096 is: 59,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 27,096 = 27,096 : x
  2. Step 2: Convert to fraction form
    12,414/27,096 = 27,096/x
  3. Step 3: Cross multiply
    12,414x = 27,096 × 27,096
  4. Step 4: Simplify right side
    12,414x = 734,193,216
  5. Step 5: Solve for x
    x = 734,193,216/12,414
  6. Step 6: Final answer
    x = 59,142.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.