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Finding the Third Proportional to 33,478 and 45,906

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Solution

The third proportional to 33,478 and 45,906 is: 62,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478 : 45,906 = 45,906 : x
  2. Step 2: Convert to fraction form
    33,478/45,906 = 45,906/x
  3. Step 3: Cross multiply
    33,478x = 45,906 × 45,906
  4. Step 4: Simplify right side
    33,478x = 2,107,360,836
  5. Step 5: Solve for x
    x = 2,107,360,836/33,478
  6. Step 6: Final answer
    x = 62,947.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.