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Finding the Third Proportional to 20,766 and 31,063

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Solution

The third proportional to 20,766 and 31,063 is: 46,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766 : 31,063 = 31,063 : x
  2. Step 2: Convert to fraction form
    20,766/31,063 = 31,063/x
  3. Step 3: Cross multiply
    20,766x = 31,063 × 31,063
  4. Step 4: Simplify right side
    20,766x = 964,909,969
  5. Step 5: Solve for x
    x = 964,909,969/20,766
  6. Step 6: Final answer
    x = 46,465.86

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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.