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Finding the Third Proportional to 6,209.44 and 12,692.25

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Solution

The third proportional to 6,209.44 and 12,692.25 is: 25,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.44 : 12,692.25 = 12,692.25 : x
  2. Step 2: Convert to fraction form
    6,209.44/12,692.25 = 12,692.25/x
  3. Step 3: Cross multiply
    6,209.44x = 12,692.25 × 12,692.25
  4. Step 4: Simplify right side
    6,209.44x = 161,093,210.06
  5. Step 5: Solve for x
    x = 161,093,210.06/6,209.44
  6. Step 6: Final answer
    x = 25,943.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.