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Finding the Third Proportional to 7,308.98 and 11,770.95

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Solution

The third proportional to 7,308.98 and 11,770.95 is: 18,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.98 : 11,770.95 = 11,770.95 : x
  2. Step 2: Convert to fraction form
    7,308.98/11,770.95 = 11,770.95/x
  3. Step 3: Cross multiply
    7,308.98x = 11,770.95 × 11,770.95
  4. Step 4: Simplify right side
    7,308.98x = 138,555,153.55
  5. Step 5: Solve for x
    x = 138,555,153.55/7,308.98
  6. Step 6: Final answer
    x = 18,956.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.