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Finding the Third Proportional to 13,766.63 and 26,439.75

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Solution

The third proportional to 13,766.63 and 26,439.75 is: 50,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.63 : 26,439.75 = 26,439.75 : x
  2. Step 2: Convert to fraction form
    13,766.63/26,439.75 = 26,439.75/x
  3. Step 3: Cross multiply
    13,766.63x = 26,439.75 × 26,439.75
  4. Step 4: Simplify right side
    13,766.63x = 699,060,380.06
  5. Step 5: Solve for x
    x = 699,060,380.06/13,766.63
  6. Step 6: Final answer
    x = 50,779.36

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.