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Finding the Third Proportional to 33,066 and 71,359.13

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Solution

The third proportional to 33,066 and 71,359.13 is: 153,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,066 : 71,359.13 = 71,359.13 : x
  2. Step 2: Convert to fraction form
    33,066/71,359.13 = 71,359.13/x
  3. Step 3: Cross multiply
    33,066x = 71,359.13 × 71,359.13
  4. Step 4: Simplify right side
    33,066x = 5,092,124,720.77
  5. Step 5: Solve for x
    x = 5,092,124,720.77/33,066
  6. Step 6: Final answer
    x = 153,998.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.