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Finding the Third Proportional to 7,672.22 and 11,205.84

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Solution

The third proportional to 7,672.22 and 11,205.84 is: 16,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.22 : 11,205.84 = 11,205.84 : x
  2. Step 2: Convert to fraction form
    7,672.22/11,205.84 = 11,205.84/x
  3. Step 3: Cross multiply
    7,672.22x = 11,205.84 × 11,205.84
  4. Step 4: Simplify right side
    7,672.22x = 125,570,934.15
  5. Step 5: Solve for x
    x = 125,570,934.15/7,672.22
  6. Step 6: Final answer
    x = 16,366.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.