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Finding the Third Proportional to 11,015 and 16,525.50

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Solution

The third proportional to 11,015 and 16,525.50 is: 24,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015 : 16,525.50 = 16,525.50 : x
  2. Step 2: Convert to fraction form
    11,015/16,525.50 = 16,525.50/x
  3. Step 3: Cross multiply
    11,015x = 16,525.50 × 16,525.50
  4. Step 4: Simplify right side
    11,015x = 273,092,150.25
  5. Step 5: Solve for x
    x = 273,092,150.25/11,015
  6. Step 6: Final answer
    x = 24,792.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.