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Finding the Third Proportional to 7,412.77 and 11,107.27

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Solution

The third proportional to 7,412.77 and 11,107.27 is: 16,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.77 : 11,107.27 = 11,107.27 : x
  2. Step 2: Convert to fraction form
    7,412.77/11,107.27 = 11,107.27/x
  3. Step 3: Cross multiply
    7,412.77x = 11,107.27 × 11,107.27
  4. Step 4: Simplify right side
    7,412.77x = 123,371,349.66
  5. Step 5: Solve for x
    x = 123,371,349.66/7,412.77
  6. Step 6: Final answer
    x = 16,643.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.