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Finding the Third Proportional to 14,635.69 and 32,546.81

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Solution

The third proportional to 14,635.69 and 32,546.81 is: 72,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.69 : 32,546.81 = 32,546.81 : x
  2. Step 2: Convert to fraction form
    14,635.69/32,546.81 = 32,546.81/x
  3. Step 3: Cross multiply
    14,635.69x = 32,546.81 × 32,546.81
  4. Step 4: Simplify right side
    14,635.69x = 1,059,295,003.91
  5. Step 5: Solve for x
    x = 1,059,295,003.91/14,635.69
  6. Step 6: Final answer
    x = 72,377.54

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.