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Finding the Third Proportional to 5,219.75 and 11,305.20

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Solution

The third proportional to 5,219.75 and 11,305.20 is: 24,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.75 : 11,305.20 = 11,305.20 : x
  2. Step 2: Convert to fraction form
    5,219.75/11,305.20 = 11,305.20/x
  3. Step 3: Cross multiply
    5,219.75x = 11,305.20 × 11,305.20
  4. Step 4: Simplify right side
    5,219.75x = 127,807,441.05
  5. Step 5: Solve for x
    x = 127,807,441.05/5,219.75
  6. Step 6: Final answer
    x = 24,485.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.