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Finding the Third Proportional to 47,096 and 66,005

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Solution

The third proportional to 47,096 and 66,005 is: 92,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,096 : 66,005 = 66,005 : x
  2. Step 2: Convert to fraction form
    47,096/66,005 = 66,005/x
  3. Step 3: Cross multiply
    47,096x = 66,005 × 66,005
  4. Step 4: Simplify right side
    47,096x = 4,356,660,025
  5. Step 5: Solve for x
    x = 4,356,660,025/47,096
  6. Step 6: Final answer
    x = 92,505.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.