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Finding the Third Proportional to 2,016.84 and 3,069.28

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Solution

The third proportional to 2,016.84 and 3,069.28 is: 4,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.84 : 3,069.28 = 3,069.28 : x
  2. Step 2: Convert to fraction form
    2,016.84/3,069.28 = 3,069.28/x
  3. Step 3: Cross multiply
    2,016.84x = 3,069.28 × 3,069.28
  4. Step 4: Simplify right side
    2,016.84x = 9,420,487.39
  5. Step 5: Solve for x
    x = 9,420,487.39/2,016.84
  6. Step 6: Final answer
    x = 4,670.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.