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Finding the Third Proportional to 34,429.50 and 71,951.06

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Solution

The third proportional to 34,429.50 and 71,951.06 is: 150,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,429.50 : 71,951.06 = 71,951.06 : x
  2. Step 2: Convert to fraction form
    34,429.50/71,951.06 = 71,951.06/x
  3. Step 3: Cross multiply
    34,429.50x = 71,951.06 × 71,951.06
  4. Step 4: Simplify right side
    34,429.50x = 5,176,955,394.88
  5. Step 5: Solve for x
    x = 5,176,955,394.88/34,429.50
  6. Step 6: Final answer
    x = 150,363.94

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.