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Finding the Third Proportional to 5,998.50 and 8,972.44

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Solution

The third proportional to 5,998.50 and 8,972.44 is: 13,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.50 : 8,972.44 = 8,972.44 : x
  2. Step 2: Convert to fraction form
    5,998.50/8,972.44 = 8,972.44/x
  3. Step 3: Cross multiply
    5,998.50x = 8,972.44 × 8,972.44
  4. Step 4: Simplify right side
    5,998.50x = 80,504,634.69
  5. Step 5: Solve for x
    x = 80,504,634.69/5,998.50
  6. Step 6: Final answer
    x = 13,420.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.