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Finding the Third Proportional to 32,659.13 and 48,861.75

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Solution

The third proportional to 32,659.13 and 48,861.75 is: 73,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.13 : 48,861.75 = 48,861.75 : x
  2. Step 2: Convert to fraction form
    32,659.13/48,861.75 = 48,861.75/x
  3. Step 3: Cross multiply
    32,659.13x = 48,861.75 × 48,861.75
  4. Step 4: Simplify right side
    32,659.13x = 2,387,470,613.06
  5. Step 5: Solve for x
    x = 2,387,470,613.06/32,659.13
  6. Step 6: Final answer
    x = 73,102.71

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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.