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Finding the Third Proportional to 2,736.28 and 5,837.06

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Solution

The third proportional to 2,736.28 and 5,837.06 is: 12,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.28 : 5,837.06 = 5,837.06 : x
  2. Step 2: Convert to fraction form
    2,736.28/5,837.06 = 5,837.06/x
  3. Step 3: Cross multiply
    2,736.28x = 5,837.06 × 5,837.06
  4. Step 4: Simplify right side
    2,736.28x = 34,071,298.63
  5. Step 5: Solve for x
    x = 34,071,298.63/2,736.28
  6. Step 6: Final answer
    x = 12,451.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.