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Finding the Third Proportional to 3,692.25 and 7,971.33

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Solution

The third proportional to 3,692.25 and 7,971.33 is: 17,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.25 : 7,971.33 = 7,971.33 : x
  2. Step 2: Convert to fraction form
    3,692.25/7,971.33 = 7,971.33/x
  3. Step 3: Cross multiply
    3,692.25x = 7,971.33 × 7,971.33
  4. Step 4: Simplify right side
    3,692.25x = 63,542,072.08
  5. Step 5: Solve for x
    x = 63,542,072.08/3,692.25
  6. Step 6: Final answer
    x = 17,209.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.