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Finding the Third Proportional to 32,264 and 50,699

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Solution

The third proportional to 32,264 and 50,699 is: 79,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264 : 50,699 = 50,699 : x
  2. Step 2: Convert to fraction form
    32,264/50,699 = 50,699/x
  3. Step 3: Cross multiply
    32,264x = 50,699 × 50,699
  4. Step 4: Simplify right side
    32,264x = 2,570,388,601
  5. Step 5: Solve for x
    x = 2,570,388,601/32,264
  6. Step 6: Final answer
    x = 79,667.39

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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.