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Finding the Third Proportional to 27,870 and 60,096

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Solution

The third proportional to 27,870 and 60,096 is: 129,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870 : 60,096 = 60,096 : x
  2. Step 2: Convert to fraction form
    27,870/60,096 = 60,096/x
  3. Step 3: Cross multiply
    27,870x = 60,096 × 60,096
  4. Step 4: Simplify right side
    27,870x = 3,611,529,216
  5. Step 5: Solve for x
    x = 3,611,529,216/27,870
  6. Step 6: Final answer
    x = 129,584.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.