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Finding the Third Proportional to 27,096 and 55,920

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Solution

The third proportional to 27,096 and 55,920 is: 115,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096 : 55,920 = 55,920 : x
  2. Step 2: Convert to fraction form
    27,096/55,920 = 55,920/x
  3. Step 3: Cross multiply
    27,096x = 55,920 × 55,920
  4. Step 4: Simplify right side
    27,096x = 3,127,046,400
  5. Step 5: Solve for x
    x = 3,127,046,400/27,096
  6. Step 6: Final answer
    x = 115,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.