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Finding the Third Proportional to 20,766.38 and 31,068.56

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Solution

The third proportional to 20,766.38 and 31,068.56 is: 46,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.38 : 31,068.56 = 31,068.56 : x
  2. Step 2: Convert to fraction form
    20,766.38/31,068.56 = 31,068.56/x
  3. Step 3: Cross multiply
    20,766.38x = 31,068.56 × 31,068.56
  4. Step 4: Simplify right side
    20,766.38x = 965,255,575.82
  5. Step 5: Solve for x
    x = 965,255,575.82/20,766.38
  6. Step 6: Final answer
    x = 46,481.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.