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Finding the Third Proportional to 11,022.75 and 24,115.50

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Solution

The third proportional to 11,022.75 and 24,115.50 is: 52,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.75 : 24,115.50 = 24,115.50 : x
  2. Step 2: Convert to fraction form
    11,022.75/24,115.50 = 24,115.50/x
  3. Step 3: Cross multiply
    11,022.75x = 24,115.50 × 24,115.50
  4. Step 4: Simplify right side
    11,022.75x = 581,557,340.25
  5. Step 5: Solve for x
    x = 581,557,340.25/11,022.75
  6. Step 6: Final answer
    x = 52,759.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.