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Finding the Third Proportional to 45,891 and 64,626

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Solution

The third proportional to 45,891 and 64,626 is: 91,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,891 : 64,626 = 64,626 : x
  2. Step 2: Convert to fraction form
    45,891/64,626 = 64,626/x
  3. Step 3: Cross multiply
    45,891x = 64,626 × 64,626
  4. Step 4: Simplify right side
    45,891x = 4,176,519,876
  5. Step 5: Solve for x
    x = 4,176,519,876/45,891
  6. Step 6: Final answer
    x = 91,009.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.