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Finding the Third Proportional to 34,338.94 and 72,793.69

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Solution

The third proportional to 34,338.94 and 72,793.69 is: 154,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.94 : 72,793.69 = 72,793.69 : x
  2. Step 2: Convert to fraction form
    34,338.94/72,793.69 = 72,793.69/x
  3. Step 3: Cross multiply
    34,338.94x = 72,793.69 × 72,793.69
  4. Step 4: Simplify right side
    34,338.94x = 5,298,920,939.85
  5. Step 5: Solve for x
    x = 5,298,920,939.85/34,338.94
  6. Step 6: Final answer
    x = 154,312.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.