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Finding the Third Proportional to 13,161.75 and 26,937.75

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Solution

The third proportional to 13,161.75 and 26,937.75 is: 55,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.75 : 26,937.75 = 26,937.75 : x
  2. Step 2: Convert to fraction form
    13,161.75/26,937.75 = 26,937.75/x
  3. Step 3: Cross multiply
    13,161.75x = 26,937.75 × 26,937.75
  4. Step 4: Simplify right side
    13,161.75x = 725,642,375.06
  5. Step 5: Solve for x
    x = 725,642,375.06/13,161.75
  6. Step 6: Final answer
    x = 55,132.67

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.