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Finding the Third Proportional to 26,805 and 38,466.75

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Solution

The third proportional to 26,805 and 38,466.75 is: 55,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805 : 38,466.75 = 38,466.75 : x
  2. Step 2: Convert to fraction form
    26,805/38,466.75 = 38,466.75/x
  3. Step 3: Cross multiply
    26,805x = 38,466.75 × 38,466.75
  4. Step 4: Simplify right side
    26,805x = 1,479,690,855.56
  5. Step 5: Solve for x
    x = 1,479,690,855.56/26,805
  6. Step 6: Final answer
    x = 55,202.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.