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Finding the Third Proportional to 36,996.75 and 80,230.50

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Solution

The third proportional to 36,996.75 and 80,230.50 is: 173,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,996.75 : 80,230.50 = 80,230.50 : x
  2. Step 2: Convert to fraction form
    36,996.75/80,230.50 = 80,230.50/x
  3. Step 3: Cross multiply
    36,996.75x = 80,230.50 × 80,230.50
  4. Step 4: Simplify right side
    36,996.75x = 6,436,933,130.25
  5. Step 5: Solve for x
    x = 6,436,933,130.25/36,996.75
  6. Step 6: Final answer
    x = 173,986.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.