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Finding the Third Proportional to 20,268 and 32,377.88

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Solution

The third proportional to 20,268 and 32,377.88 is: 51,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 32,377.88 = 32,377.88 : x
  2. Step 2: Convert to fraction form
    20,268/32,377.88 = 32,377.88/x
  3. Step 3: Cross multiply
    20,268x = 32,377.88 × 32,377.88
  4. Step 4: Simplify right side
    20,268x = 1,048,326,789.52
  5. Step 5: Solve for x
    x = 1,048,326,789.52/20,268
  6. Step 6: Final answer
    x = 51,723.25

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.