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Finding the Third Proportional to 9,496.97 and 14,908.78

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Solution

The third proportional to 9,496.97 and 14,908.78 is: 23,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.97 : 14,908.78 = 14,908.78 : x
  2. Step 2: Convert to fraction form
    9,496.97/14,908.78 = 14,908.78/x
  3. Step 3: Cross multiply
    9,496.97x = 14,908.78 × 14,908.78
  4. Step 4: Simplify right side
    9,496.97x = 222,271,758.36
  5. Step 5: Solve for x
    x = 222,271,758.36/9,496.97
  6. Step 6: Final answer
    x = 23,404.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.