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Finding the Third Proportional to 16,771.50 and 22,245.75

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Solution

The third proportional to 16,771.50 and 22,245.75 is: 29,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.50 : 22,245.75 = 22,245.75 : x
  2. Step 2: Convert to fraction form
    16,771.50/22,245.75 = 22,245.75/x
  3. Step 3: Cross multiply
    16,771.50x = 22,245.75 × 22,245.75
  4. Step 4: Simplify right side
    16,771.50x = 494,873,393.06
  5. Step 5: Solve for x
    x = 494,873,393.06/16,771.50
  6. Step 6: Final answer
    x = 29,506.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.