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Finding the Third Proportional to 20,062.69 and 32,767.03

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Solution

The third proportional to 20,062.69 and 32,767.03 is: 53,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062.69 : 32,767.03 = 32,767.03 : x
  2. Step 2: Convert to fraction form
    20,062.69/32,767.03 = 32,767.03/x
  3. Step 3: Cross multiply
    20,062.69x = 32,767.03 × 32,767.03
  4. Step 4: Simplify right side
    20,062.69x = 1,073,678,336.94
  5. Step 5: Solve for x
    x = 1,073,678,336.94/20,062.69
  6. Step 6: Final answer
    x = 53,516.18

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.