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Finding the Third Proportional to 5,355.75 and 11,533.69

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Solution

The third proportional to 5,355.75 and 11,533.69 is: 24,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.75 : 11,533.69 = 11,533.69 : x
  2. Step 2: Convert to fraction form
    5,355.75/11,533.69 = 11,533.69/x
  3. Step 3: Cross multiply
    5,355.75x = 11,533.69 × 11,533.69
  4. Step 4: Simplify right side
    5,355.75x = 133,025,947.35
  5. Step 5: Solve for x
    x = 133,025,947.35/5,355.75
  6. Step 6: Final answer
    x = 24,837.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.