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Finding the Third Proportional to 33,358 and 49,938

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Solution

The third proportional to 33,358 and 49,938 is: 74,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,358 : 49,938 = 49,938 : x
  2. Step 2: Convert to fraction form
    33,358/49,938 = 49,938/x
  3. Step 3: Cross multiply
    33,358x = 49,938 × 49,938
  4. Step 4: Simplify right side
    33,358x = 2,493,803,844
  5. Step 5: Solve for x
    x = 2,493,803,844/33,358
  6. Step 6: Final answer
    x = 74,758.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.