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Finding the Third Proportional to 47,650 and 100,676

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Solution

The third proportional to 47,650 and 100,676 is: 212,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650 : 100,676 = 100,676 : x
  2. Step 2: Convert to fraction form
    47,650/100,676 = 100,676/x
  3. Step 3: Cross multiply
    47,650x = 100,676 × 100,676
  4. Step 4: Simplify right side
    47,650x = 10,135,656,976
  5. Step 5: Solve for x
    x = 10,135,656,976/47,650
  6. Step 6: Final answer
    x = 212,710.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.