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Finding the Third Proportional to 33,814.97 and 72,320.34

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Solution

The third proportional to 33,814.97 and 72,320.34 is: 154,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.97 : 72,320.34 = 72,320.34 : x
  2. Step 2: Convert to fraction form
    33,814.97/72,320.34 = 72,320.34/x
  3. Step 3: Cross multiply
    33,814.97x = 72,320.34 × 72,320.34
  4. Step 4: Simplify right side
    33,814.97x = 5,230,232,120.12
  5. Step 5: Solve for x
    x = 5,230,232,120.12/33,814.97
  6. Step 6: Final answer
    x = 154,672.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.