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Finding the Third Proportional to 32,806.27 and 49,199.91

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Solution

The third proportional to 32,806.27 and 49,199.91 is: 73,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.27 : 49,199.91 = 49,199.91 : x
  2. Step 2: Convert to fraction form
    32,806.27/49,199.91 = 49,199.91/x
  3. Step 3: Cross multiply
    32,806.27x = 49,199.91 × 49,199.91
  4. Step 4: Simplify right side
    32,806.27x = 2,420,630,775.01
  5. Step 5: Solve for x
    x = 2,420,630,775.01/32,806.27
  6. Step 6: Final answer
    x = 73,785.62

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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.