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Finding the Third Proportional to 5,509.50 and 11,464.50

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Solution

The third proportional to 5,509.50 and 11,464.50 is: 23,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.50 : 11,464.50 = 11,464.50 : x
  2. Step 2: Convert to fraction form
    5,509.50/11,464.50 = 11,464.50/x
  3. Step 3: Cross multiply
    5,509.50x = 11,464.50 × 11,464.50
  4. Step 4: Simplify right side
    5,509.50x = 131,434,760.25
  5. Step 5: Solve for x
    x = 131,434,760.25/5,509.50
  6. Step 6: Final answer
    x = 23,856.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.