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Finding the Third Proportional to 33,918 and 49,861.50

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Solution

The third proportional to 33,918 and 49,861.50 is: 73,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918 : 49,861.50 = 49,861.50 : x
  2. Step 2: Convert to fraction form
    33,918/49,861.50 = 49,861.50/x
  3. Step 3: Cross multiply
    33,918x = 49,861.50 × 49,861.50
  4. Step 4: Simplify right side
    33,918x = 2,486,169,182.25
  5. Step 5: Solve for x
    x = 2,486,169,182.25/33,918
  6. Step 6: Final answer
    x = 73,299.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.