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Finding the Third Proportional to 32,699 and 50,621

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Solution

The third proportional to 32,699 and 50,621 is: 78,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699 : 50,621 = 50,621 : x
  2. Step 2: Convert to fraction form
    32,699/50,621 = 50,621/x
  3. Step 3: Cross multiply
    32,699x = 50,621 × 50,621
  4. Step 4: Simplify right side
    32,699x = 2,562,485,641
  5. Step 5: Solve for x
    x = 2,562,485,641/32,699
  6. Step 6: Final answer
    x = 78,365.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.