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Finding the Third Proportional to 36,007.50 and 49,446

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Solution

The third proportional to 36,007.50 and 49,446 is: 67,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,007.50 : 49,446 = 49,446 : x
  2. Step 2: Convert to fraction form
    36,007.50/49,446 = 49,446/x
  3. Step 3: Cross multiply
    36,007.50x = 49,446 × 49,446
  4. Step 4: Simplify right side
    36,007.50x = 2,444,906,916
  5. Step 5: Solve for x
    x = 2,444,906,916/36,007.50
  6. Step 6: Final answer
    x = 67,899.94

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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.