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Finding the Third Proportional to 8,002.13 and 18,692.44

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Solution

The third proportional to 8,002.13 and 18,692.44 is: 43,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.13 : 18,692.44 = 18,692.44 : x
  2. Step 2: Convert to fraction form
    8,002.13/18,692.44 = 18,692.44/x
  3. Step 3: Cross multiply
    8,002.13x = 18,692.44 × 18,692.44
  4. Step 4: Simplify right side
    8,002.13x = 349,407,219.69
  5. Step 5: Solve for x
    x = 349,407,219.69/8,002.13
  6. Step 6: Final answer
    x = 43,664.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.