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Finding the Third Proportional to 7,770.94 and 11,691.84

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Solution

The third proportional to 7,770.94 and 11,691.84 is: 17,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.94 : 11,691.84 = 11,691.84 : x
  2. Step 2: Convert to fraction form
    7,770.94/11,691.84 = 11,691.84/x
  3. Step 3: Cross multiply
    7,770.94x = 11,691.84 × 11,691.84
  4. Step 4: Simplify right side
    7,770.94x = 136,699,210.27
  5. Step 5: Solve for x
    x = 136,699,210.27/7,770.94
  6. Step 6: Final answer
    x = 17,591.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.