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Finding the Third Proportional to 2,736.38 and 5,799.75

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Solution

The third proportional to 2,736.38 and 5,799.75 is: 12,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.38 : 5,799.75 = 5,799.75 : x
  2. Step 2: Convert to fraction form
    2,736.38/5,799.75 = 5,799.75/x
  3. Step 3: Cross multiply
    2,736.38x = 5,799.75 × 5,799.75
  4. Step 4: Simplify right side
    2,736.38x = 33,637,100.06
  5. Step 5: Solve for x
    x = 33,637,100.06/2,736.38
  6. Step 6: Final answer
    x = 12,292.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.