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Finding the Third Proportional to 18,765.42 and 41,469.47

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Solution

The third proportional to 18,765.42 and 41,469.47 is: 91,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765.42 : 41,469.47 = 41,469.47 : x
  2. Step 2: Convert to fraction form
    18,765.42/41,469.47 = 41,469.47/x
  3. Step 3: Cross multiply
    18,765.42x = 41,469.47 × 41,469.47
  4. Step 4: Simplify right side
    18,765.42x = 1,719,716,838.41
  5. Step 5: Solve for x
    x = 1,719,716,838.41/18,765.42
  6. Step 6: Final answer
    x = 91,642.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.