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Finding the Third Proportional to 34,604.72 and 74,359.69

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Solution

The third proportional to 34,604.72 and 74,359.69 is: 159,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,604.72 : 74,359.69 = 74,359.69 : x
  2. Step 2: Convert to fraction form
    34,604.72/74,359.69 = 74,359.69/x
  3. Step 3: Cross multiply
    34,604.72x = 74,359.69 × 74,359.69
  4. Step 4: Simplify right side
    34,604.72x = 5,529,363,125.10
  5. Step 5: Solve for x
    x = 5,529,363,125.10/34,604.72
  6. Step 6: Final answer
    x = 159,786.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.