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Finding the Third Proportional to 20,928.38 and 31,883.63

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Solution

The third proportional to 20,928.38 and 31,883.63 is: 48,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928.38 : 31,883.63 = 31,883.63 : x
  2. Step 2: Convert to fraction form
    20,928.38/31,883.63 = 31,883.63/x
  3. Step 3: Cross multiply
    20,928.38x = 31,883.63 × 31,883.63
  4. Step 4: Simplify right side
    20,928.38x = 1,016,565,543.14
  5. Step 5: Solve for x
    x = 1,016,565,543.14/20,928.38
  6. Step 6: Final answer
    x = 48,573.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.