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Finding the Third Proportional to 47,007 and 100,845

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Solution

The third proportional to 47,007 and 100,845 is: 216,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007 : 100,845 = 100,845 : x
  2. Step 2: Convert to fraction form
    47,007/100,845 = 100,845/x
  3. Step 3: Cross multiply
    47,007x = 100,845 × 100,845
  4. Step 4: Simplify right side
    47,007x = 10,169,714,025
  5. Step 5: Solve for x
    x = 10,169,714,025/47,007
  6. Step 6: Final answer
    x = 216,344.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.