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Finding the Third Proportional to 8,144.30 and 18,845.79

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Solution

The third proportional to 8,144.30 and 18,845.79 is: 43,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.30 : 18,845.79 = 18,845.79 : x
  2. Step 2: Convert to fraction form
    8,144.30/18,845.79 = 18,845.79/x
  3. Step 3: Cross multiply
    8,144.30x = 18,845.79 × 18,845.79
  4. Step 4: Simplify right side
    8,144.30x = 355,163,765.39
  5. Step 5: Solve for x
    x = 355,163,765.39/8,144.30
  6. Step 6: Final answer
    x = 43,608.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.