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Finding the Third Proportional to 36,820.50 and 80,201.50

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Solution

The third proportional to 36,820.50 and 80,201.50 is: 174,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820.50 : 80,201.50 = 80,201.50 : x
  2. Step 2: Convert to fraction form
    36,820.50/80,201.50 = 80,201.50/x
  3. Step 3: Cross multiply
    36,820.50x = 80,201.50 × 80,201.50
  4. Step 4: Simplify right side
    36,820.50x = 6,432,280,602.25
  5. Step 5: Solve for x
    x = 6,432,280,602.25/36,820.50
  6. Step 6: Final answer
    x = 174,692.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.