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Finding the Third Proportional to 20,692.97 and 27,322.31

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Solution

The third proportional to 20,692.97 and 27,322.31 is: 36,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.97 : 27,322.31 = 27,322.31 : x
  2. Step 2: Convert to fraction form
    20,692.97/27,322.31 = 27,322.31/x
  3. Step 3: Cross multiply
    20,692.97x = 27,322.31 × 27,322.31
  4. Step 4: Simplify right side
    20,692.97x = 746,508,760.35
  5. Step 5: Solve for x
    x = 746,508,760.35/20,692.97
  6. Step 6: Final answer
    x = 36,075.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.