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Finding the Third Proportional to 11,035 and 15,517.50

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Solution

The third proportional to 11,035 and 15,517.50 is: 21,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035 : 15,517.50 = 15,517.50 : x
  2. Step 2: Convert to fraction form
    11,035/15,517.50 = 15,517.50/x
  3. Step 3: Cross multiply
    11,035x = 15,517.50 × 15,517.50
  4. Step 4: Simplify right side
    11,035x = 240,792,806.25
  5. Step 5: Solve for x
    x = 240,792,806.25/11,035
  6. Step 6: Final answer
    x = 21,820.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.