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Finding the Third Proportional to 5,652 and 11,121.75

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Solution

The third proportional to 5,652 and 11,121.75 is: 21,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652 : 11,121.75 = 11,121.75 : x
  2. Step 2: Convert to fraction form
    5,652/11,121.75 = 11,121.75/x
  3. Step 3: Cross multiply
    5,652x = 11,121.75 × 11,121.75
  4. Step 4: Simplify right side
    5,652x = 123,693,323.06
  5. Step 5: Solve for x
    x = 123,693,323.06/5,652
  6. Step 6: Final answer
    x = 21,884.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.