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Finding the Third Proportional to 22,692.25 and 33,232.75

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Solution

The third proportional to 22,692.25 and 33,232.75 is: 48,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.25 : 33,232.75 = 33,232.75 : x
  2. Step 2: Convert to fraction form
    22,692.25/33,232.75 = 33,232.75/x
  3. Step 3: Cross multiply
    22,692.25x = 33,232.75 × 33,232.75
  4. Step 4: Simplify right side
    22,692.25x = 1,104,415,672.56
  5. Step 5: Solve for x
    x = 1,104,415,672.56/22,692.25
  6. Step 6: Final answer
    x = 48,669.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.