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Finding the Third Proportional to 33,356 and 48,697

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Solution

The third proportional to 33,356 and 48,697 is: 71,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,356 : 48,697 = 48,697 : x
  2. Step 2: Convert to fraction form
    33,356/48,697 = 48,697/x
  3. Step 3: Cross multiply
    33,356x = 48,697 × 48,697
  4. Step 4: Simplify right side
    33,356x = 2,371,397,809
  5. Step 5: Solve for x
    x = 2,371,397,809/33,356
  6. Step 6: Final answer
    x = 71,093.59

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