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Finding the Third Proportional to 2,773.13 and 5,748.19

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Solution

The third proportional to 2,773.13 and 5,748.19 is: 11,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.13 : 5,748.19 = 5,748.19 : x
  2. Step 2: Convert to fraction form
    2,773.13/5,748.19 = 5,748.19/x
  3. Step 3: Cross multiply
    2,773.13x = 5,748.19 × 5,748.19
  4. Step 4: Simplify right side
    2,773.13x = 33,041,659.54
  5. Step 5: Solve for x
    x = 33,041,659.54/2,773.13
  6. Step 6: Final answer
    x = 11,914.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.