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Finding the Third Proportional to 5,280.75 and 11,611.50

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Solution

The third proportional to 5,280.75 and 11,611.50 is: 25,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.75 : 11,611.50 = 11,611.50 : x
  2. Step 2: Convert to fraction form
    5,280.75/11,611.50 = 11,611.50/x
  3. Step 3: Cross multiply
    5,280.75x = 11,611.50 × 11,611.50
  4. Step 4: Simplify right side
    5,280.75x = 134,826,932.25
  5. Step 5: Solve for x
    x = 134,826,932.25/5,280.75
  6. Step 6: Final answer
    x = 25,531.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.