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Finding the Third Proportional to 2,799.96 and 4,068.59

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Solution

The third proportional to 2,799.96 and 4,068.59 is: 5,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.96 : 4,068.59 = 4,068.59 : x
  2. Step 2: Convert to fraction form
    2,799.96/4,068.59 = 4,068.59/x
  3. Step 3: Cross multiply
    2,799.96x = 4,068.59 × 4,068.59
  4. Step 4: Simplify right side
    2,799.96x = 16,553,415.37
  5. Step 5: Solve for x
    x = 16,553,415.37/2,799.96
  6. Step 6: Final answer
    x = 5,912.02

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.