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Finding the Third Proportional to 36,784.13 and 84,791.81

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Solution

The third proportional to 36,784.13 and 84,791.81 is: 195,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.13 : 84,791.81 = 84,791.81 : x
  2. Step 2: Convert to fraction form
    36,784.13/84,791.81 = 84,791.81/x
  3. Step 3: Cross multiply
    36,784.13x = 84,791.81 × 84,791.81
  4. Step 4: Simplify right side
    36,784.13x = 7,189,651,467.04
  5. Step 5: Solve for x
    x = 7,189,651,467.04/36,784.13
  6. Step 6: Final answer
    x = 195,455.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.