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Finding the Third Proportional to 33,934.50 and 72,376.88

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Solution

The third proportional to 33,934.50 and 72,376.88 is: 154,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,934.50 : 72,376.88 = 72,376.88 : x
  2. Step 2: Convert to fraction form
    33,934.50/72,376.88 = 72,376.88/x
  3. Step 3: Cross multiply
    33,934.50x = 72,376.88 × 72,376.88
  4. Step 4: Simplify right side
    33,934.50x = 5,238,412,034.77
  5. Step 5: Solve for x
    x = 5,238,412,034.77/33,934.50
  6. Step 6: Final answer
    x = 154,368.33

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.