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Finding the Third Proportional to 5,065.03 and 7,667.44

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Solution

The third proportional to 5,065.03 and 7,667.44 is: 11,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.03 : 7,667.44 = 7,667.44 : x
  2. Step 2: Convert to fraction form
    5,065.03/7,667.44 = 7,667.44/x
  3. Step 3: Cross multiply
    5,065.03x = 7,667.44 × 7,667.44
  4. Step 4: Simplify right side
    5,065.03x = 58,789,597.82
  5. Step 5: Solve for x
    x = 58,789,597.82/5,065.03
  6. Step 6: Final answer
    x = 11,606.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.