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Finding the Third Proportional to 2,772.84 and 3,899.81

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Solution

The third proportional to 2,772.84 and 3,899.81 is: 5,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 3,899.81 = 3,899.81 : x
  2. Step 2: Convert to fraction form
    2,772.84/3,899.81 = 3,899.81/x
  3. Step 3: Cross multiply
    2,772.84x = 3,899.81 × 3,899.81
  4. Step 4: Simplify right side
    2,772.84x = 15,208,537.54
  5. Step 5: Solve for x
    x = 15,208,537.54/2,772.84
  6. Step 6: Final answer
    x = 5,484.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.