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Finding the Third Proportional to 3,839.06 and 7,581.94

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Solution

The third proportional to 3,839.06 and 7,581.94 is: 14,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.06 : 7,581.94 = 7,581.94 : x
  2. Step 2: Convert to fraction form
    3,839.06/7,581.94 = 7,581.94/x
  3. Step 3: Cross multiply
    3,839.06x = 7,581.94 × 7,581.94
  4. Step 4: Simplify right side
    3,839.06x = 57,485,776.25
  5. Step 5: Solve for x
    x = 57,485,776.25/3,839.06
  6. Step 6: Final answer
    x = 14,973.91

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.