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Finding the Third Proportional to 33,690.94 and 72,989.44

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Solution

The third proportional to 33,690.94 and 72,989.44 is: 158,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690.94 : 72,989.44 = 72,989.44 : x
  2. Step 2: Convert to fraction form
    33,690.94/72,989.44 = 72,989.44/x
  3. Step 3: Cross multiply
    33,690.94x = 72,989.44 × 72,989.44
  4. Step 4: Simplify right side
    33,690.94x = 5,327,457,986.57
  5. Step 5: Solve for x
    x = 5,327,457,986.57/33,690.94
  6. Step 6: Final answer
    x = 158,127.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.