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Finding the Third Proportional to 41,753 and 64,751

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Solution

The third proportional to 41,753 and 64,751 is: 100,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,753 : 64,751 = 64,751 : x
  2. Step 2: Convert to fraction form
    41,753/64,751 = 64,751/x
  3. Step 3: Cross multiply
    41,753x = 64,751 × 64,751
  4. Step 4: Simplify right side
    41,753x = 4,192,692,001
  5. Step 5: Solve for x
    x = 4,192,692,001/41,753
  6. Step 6: Final answer
    x = 100,416.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.