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Finding the Third Proportional to 22,093.50 and 33,231.75

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Solution

The third proportional to 22,093.50 and 33,231.75 is: 49,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093.50 : 33,231.75 = 33,231.75 : x
  2. Step 2: Convert to fraction form
    22,093.50/33,231.75 = 33,231.75/x
  3. Step 3: Cross multiply
    22,093.50x = 33,231.75 × 33,231.75
  4. Step 4: Simplify right side
    22,093.50x = 1,104,349,208.06
  5. Step 5: Solve for x
    x = 1,104,349,208.06/22,093.50
  6. Step 6: Final answer
    x = 49,985.25

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1.5x scale

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.