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Finding the Third Proportional to 7,475.25 and 11,727.94

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Solution

The third proportional to 7,475.25 and 11,727.94 is: 18,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.25 : 11,727.94 = 11,727.94 : x
  2. Step 2: Convert to fraction form
    7,475.25/11,727.94 = 11,727.94/x
  3. Step 3: Cross multiply
    7,475.25x = 11,727.94 × 11,727.94
  4. Step 4: Simplify right side
    7,475.25x = 137,544,518.00
  5. Step 5: Solve for x
    x = 137,544,518.00/7,475.25
  6. Step 6: Final answer
    x = 18,399.99

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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.