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Finding the Third Proportional to 41,775.44 and 86,993.31

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Solution

The third proportional to 41,775.44 and 86,993.31 is: 181,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,775.44 : 86,993.31 = 86,993.31 : x
  2. Step 2: Convert to fraction form
    41,775.44/86,993.31 = 86,993.31/x
  3. Step 3: Cross multiply
    41,775.44x = 86,993.31 × 86,993.31
  4. Step 4: Simplify right side
    41,775.44x = 7,567,836,419.72
  5. Step 5: Solve for x
    x = 7,567,836,419.72/41,775.44
  6. Step 6: Final answer
    x = 181,155.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.