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Finding the Third Proportional to 11,022.75 and 16,633.50

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Solution

The third proportional to 11,022.75 and 16,633.50 is: 25,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.75 : 16,633.50 = 16,633.50 : x
  2. Step 2: Convert to fraction form
    11,022.75/16,633.50 = 16,633.50/x
  3. Step 3: Cross multiply
    11,022.75x = 16,633.50 × 16,633.50
  4. Step 4: Simplify right side
    11,022.75x = 276,673,322.25
  5. Step 5: Solve for x
    x = 276,673,322.25/11,022.75
  6. Step 6: Final answer
    x = 25,100.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.