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Finding the Third Proportional to 27,096 and 35,963

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Solution

The third proportional to 27,096 and 35,963 is: 47,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096 : 35,963 = 35,963 : x
  2. Step 2: Convert to fraction form
    27,096/35,963 = 35,963/x
  3. Step 3: Cross multiply
    27,096x = 35,963 × 35,963
  4. Step 4: Simplify right side
    27,096x = 1,293,337,369
  5. Step 5: Solve for x
    x = 1,293,337,369/27,096
  6. Step 6: Final answer
    x = 47,731.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.