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Finding the Third Proportional to 40,682.25 and 91,995.75

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Solution

The third proportional to 40,682.25 and 91,995.75 is: 208,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682.25 : 91,995.75 = 91,995.75 : x
  2. Step 2: Convert to fraction form
    40,682.25/91,995.75 = 91,995.75/x
  3. Step 3: Cross multiply
    40,682.25x = 91,995.75 × 91,995.75
  4. Step 4: Simplify right side
    40,682.25x = 8,463,218,018.06
  5. Step 5: Solve for x
    x = 8,463,218,018.06/40,682.25
  6. Step 6: Final answer
    x = 208,032.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.