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Finding the Third Proportional to 24,495.75 and 52,197.75

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Solution

The third proportional to 24,495.75 and 52,197.75 is: 111,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.75 : 52,197.75 = 52,197.75 : x
  2. Step 2: Convert to fraction form
    24,495.75/52,197.75 = 52,197.75/x
  3. Step 3: Cross multiply
    24,495.75x = 52,197.75 × 52,197.75
  4. Step 4: Simplify right side
    24,495.75x = 2,724,605,105.06
  5. Step 5: Solve for x
    x = 2,724,605,105.06/24,495.75
  6. Step 6: Final answer
    x = 111,227.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.