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Finding the Third Proportional to 9,754.17 and 16,375.92

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Solution

The third proportional to 9,754.17 and 16,375.92 is: 27,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.17 : 16,375.92 = 16,375.92 : x
  2. Step 2: Convert to fraction form
    9,754.17/16,375.92 = 16,375.92/x
  3. Step 3: Cross multiply
    9,754.17x = 16,375.92 × 16,375.92
  4. Step 4: Simplify right side
    9,754.17x = 268,170,817.26
  5. Step 5: Solve for x
    x = 268,170,817.26/9,754.17
  6. Step 6: Final answer
    x = 27,492.94

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.