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Finding the Third Proportional to 41,802 and 64,753

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Solution

The third proportional to 41,802 and 64,753 is: 100,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,802 : 64,753 = 64,753 : x
  2. Step 2: Convert to fraction form
    41,802/64,753 = 64,753/x
  3. Step 3: Cross multiply
    41,802x = 64,753 × 64,753
  4. Step 4: Simplify right side
    41,802x = 4,192,951,009
  5. Step 5: Solve for x
    x = 4,192,951,009/41,802
  6. Step 6: Final answer
    x = 100,305.03

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