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Finding the Third Proportional to 7,286.84 and 9,672.40

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Solution

The third proportional to 7,286.84 and 9,672.40 is: 12,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.84 : 9,672.40 = 9,672.40 : x
  2. Step 2: Convert to fraction form
    7,286.84/9,672.40 = 9,672.40/x
  3. Step 3: Cross multiply
    7,286.84x = 9,672.40 × 9,672.40
  4. Step 4: Simplify right side
    7,286.84x = 93,555,291.53
  5. Step 5: Solve for x
    x = 93,555,291.53/7,286.84
  6. Step 6: Final answer
    x = 12,838.95

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.