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Finding the Third Proportional to 5,676.75 and 13,736.25

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Solution

The third proportional to 5,676.75 and 13,736.25 is: 33,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.75 : 13,736.25 = 13,736.25 : x
  2. Step 2: Convert to fraction form
    5,676.75/13,736.25 = 13,736.25/x
  3. Step 3: Cross multiply
    5,676.75x = 13,736.25 × 13,736.25
  4. Step 4: Simplify right side
    5,676.75x = 188,684,564.06
  5. Step 5: Solve for x
    x = 188,684,564.06/5,676.75
  6. Step 6: Final answer
    x = 33,238.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.