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Finding the Third Proportional to 7,674.75 and 11,734.88

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Solution

The third proportional to 7,674.75 and 11,734.88 is: 17,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 11,734.88 = 11,734.88 : x
  2. Step 2: Convert to fraction form
    7,674.75/11,734.88 = 11,734.88/x
  3. Step 3: Cross multiply
    7,674.75x = 11,734.88 × 11,734.88
  4. Step 4: Simplify right side
    7,674.75x = 137,707,291.27
  5. Step 5: Solve for x
    x = 137,707,291.27/7,674.75
  6. Step 6: Final answer
    x = 17,942.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.