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Finding the Third Proportional to 41,777.63 and 86,996.63

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Solution

The third proportional to 41,777.63 and 86,996.63 is: 181,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,777.63 : 86,996.63 = 86,996.63 : x
  2. Step 2: Convert to fraction form
    41,777.63/86,996.63 = 86,996.63/x
  3. Step 3: Cross multiply
    41,777.63x = 86,996.63 × 86,996.63
  4. Step 4: Simplify right side
    41,777.63x = 7,568,412,761.39
  5. Step 5: Solve for x
    x = 7,568,412,761.39/41,777.63
  6. Step 6: Final answer
    x = 181,159.48

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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.