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Finding the Third Proportional to 5,857.31 and 12,806.86

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Solution

The third proportional to 5,857.31 and 12,806.86 is: 28,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.31 : 12,806.86 = 12,806.86 : x
  2. Step 2: Convert to fraction form
    5,857.31/12,806.86 = 12,806.86/x
  3. Step 3: Cross multiply
    5,857.31x = 12,806.86 × 12,806.86
  4. Step 4: Simplify right side
    5,857.31x = 164,015,647.05
  5. Step 5: Solve for x
    x = 164,015,647.05/5,857.31
  6. Step 6: Final answer
    x = 28,001.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.