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Finding the Third Proportional to 41,051.81 and 57,796.03

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Solution

The third proportional to 41,051.81 and 57,796.03 is: 81,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,051.81 : 57,796.03 = 57,796.03 : x
  2. Step 2: Convert to fraction form
    41,051.81/57,796.03 = 57,796.03/x
  3. Step 3: Cross multiply
    41,051.81x = 57,796.03 × 57,796.03
  4. Step 4: Simplify right side
    41,051.81x = 3,340,381,228.25
  5. Step 5: Solve for x
    x = 3,340,381,228.25/41,051.81
  6. Step 6: Final answer
    x = 81,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.