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Finding the Third Proportional to 47,010 and 68,751

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Solution

The third proportional to 47,010 and 68,751 is: 100,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,010 : 68,751 = 68,751 : x
  2. Step 2: Convert to fraction form
    47,010/68,751 = 68,751/x
  3. Step 3: Cross multiply
    47,010x = 68,751 × 68,751
  4. Step 4: Simplify right side
    47,010x = 4,726,700,001
  5. Step 5: Solve for x
    x = 4,726,700,001/47,010
  6. Step 6: Final answer
    x = 100,546.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.