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Finding the Third Proportional to 9,286.84 and 14,107.92

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Solution

The third proportional to 9,286.84 and 14,107.92 is: 21,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.84 : 14,107.92 = 14,107.92 : x
  2. Step 2: Convert to fraction form
    9,286.84/14,107.92 = 14,107.92/x
  3. Step 3: Cross multiply
    9,286.84x = 14,107.92 × 14,107.92
  4. Step 4: Simplify right side
    9,286.84x = 199,033,459.63
  5. Step 5: Solve for x
    x = 199,033,459.63/9,286.84
  6. Step 6: Final answer
    x = 21,431.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.