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Finding the Third Proportional to 47,327.50 and 101,945

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Solution

The third proportional to 47,327.50 and 101,945 is: 219,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,327.50 : 101,945 = 101,945 : x
  2. Step 2: Convert to fraction form
    47,327.50/101,945 = 101,945/x
  3. Step 3: Cross multiply
    47,327.50x = 101,945 × 101,945
  4. Step 4: Simplify right side
    47,327.50x = 10,392,783,025
  5. Step 5: Solve for x
    x = 10,392,783,025/47,327.50
  6. Step 6: Final answer
    x = 219,592.90

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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.