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Finding the Third Proportional to 33,477.05 and 72,934.17

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Solution

The third proportional to 33,477.05 and 72,934.17 is: 158,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477.05 : 72,934.17 = 72,934.17 : x
  2. Step 2: Convert to fraction form
    33,477.05/72,934.17 = 72,934.17/x
  3. Step 3: Cross multiply
    33,477.05x = 72,934.17 × 72,934.17
  4. Step 4: Simplify right side
    33,477.05x = 5,319,393,427.09
  5. Step 5: Solve for x
    x = 5,319,393,427.09/33,477.05
  6. Step 6: Final answer
    x = 158,896.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.