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Finding the Third Proportional to 32,662.69 and 47,733.19

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Solution

The third proportional to 32,662.69 and 47,733.19 is: 69,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,662.69 : 47,733.19 = 47,733.19 : x
  2. Step 2: Convert to fraction form
    32,662.69/47,733.19 = 47,733.19/x
  3. Step 3: Cross multiply
    32,662.69x = 47,733.19 × 47,733.19
  4. Step 4: Simplify right side
    32,662.69x = 2,278,457,188.91
  5. Step 5: Solve for x
    x = 2,278,457,188.91/32,662.69
  6. Step 6: Final answer
    x = 69,757.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.