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Finding the Third Proportional to 26,581.50 and 51,213.38

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Solution

The third proportional to 26,581.50 and 51,213.38 is: 98,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,581.50 : 51,213.38 = 51,213.38 : x
  2. Step 2: Convert to fraction form
    26,581.50/51,213.38 = 51,213.38/x
  3. Step 3: Cross multiply
    26,581.50x = 51,213.38 × 51,213.38
  4. Step 4: Simplify right side
    26,581.50x = 2,622,809,778.89
  5. Step 5: Solve for x
    x = 2,622,809,778.89/26,581.50
  6. Step 6: Final answer
    x = 98,670.50

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.