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Finding the Third Proportional to 8,998.50 and 13,491.75

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Solution

The third proportional to 8,998.50 and 13,491.75 is: 20,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,998.50 : 13,491.75 = 13,491.75 : x
  2. Step 2: Convert to fraction form
    8,998.50/13,491.75 = 13,491.75/x
  3. Step 3: Cross multiply
    8,998.50x = 13,491.75 × 13,491.75
  4. Step 4: Simplify right side
    8,998.50x = 182,027,318.06
  5. Step 5: Solve for x
    x = 182,027,318.06/8,998.50
  6. Step 6: Final answer
    x = 20,228.63

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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.