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Finding the Third Proportional to 20,773.13 and 32,023.69

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Solution

The third proportional to 20,773.13 and 32,023.69 is: 49,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.13 : 32,023.69 = 32,023.69 : x
  2. Step 2: Convert to fraction form
    20,773.13/32,023.69 = 32,023.69/x
  3. Step 3: Cross multiply
    20,773.13x = 32,023.69 × 32,023.69
  4. Step 4: Simplify right side
    20,773.13x = 1,025,516,561.10
  5. Step 5: Solve for x
    x = 1,025,516,561.10/20,773.13
  6. Step 6: Final answer
    x = 49,367.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.