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Finding the Third Proportional to 5,349.38 and 11,928.09

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Solution

The third proportional to 5,349.38 and 11,928.09 is: 26,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.38 : 11,928.09 = 11,928.09 : x
  2. Step 2: Convert to fraction form
    5,349.38/11,928.09 = 11,928.09/x
  3. Step 3: Cross multiply
    5,349.38x = 11,928.09 × 11,928.09
  4. Step 4: Simplify right side
    5,349.38x = 142,279,420.51
  5. Step 5: Solve for x
    x = 142,279,420.51/5,349.38
  6. Step 6: Final answer
    x = 26,597.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.