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Finding the Third Proportional to 20,715 and 31,788

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Solution

The third proportional to 20,715 and 31,788 is: 48,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715 : 31,788 = 31,788 : x
  2. Step 2: Convert to fraction form
    20,715/31,788 = 31,788/x
  3. Step 3: Cross multiply
    20,715x = 31,788 × 31,788
  4. Step 4: Simplify right side
    20,715x = 1,010,476,944
  5. Step 5: Solve for x
    x = 1,010,476,944/20,715
  6. Step 6: Final answer
    x = 48,779.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.