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Finding the Third Proportional to 27,096 and 36,914

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Solution

The third proportional to 27,096 and 36,914 is: 50,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096 : 36,914 = 36,914 : x
  2. Step 2: Convert to fraction form
    27,096/36,914 = 36,914/x
  3. Step 3: Cross multiply
    27,096x = 36,914 × 36,914
  4. Step 4: Simplify right side
    27,096x = 1,362,643,396
  5. Step 5: Solve for x
    x = 1,362,643,396/27,096
  6. Step 6: Final answer
    x = 50,289.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.