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Finding the Third Proportional to 24,375.75 and 52,749.38

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Solution

The third proportional to 24,375.75 and 52,749.38 is: 114,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.75 : 52,749.38 = 52,749.38 : x
  2. Step 2: Convert to fraction form
    24,375.75/52,749.38 = 52,749.38/x
  3. Step 3: Cross multiply
    24,375.75x = 52,749.38 × 52,749.38
  4. Step 4: Simplify right side
    24,375.75x = 2,782,496,562.89
  5. Step 5: Solve for x
    x = 2,782,496,562.89/24,375.75
  6. Step 6: Final answer
    x = 114,150.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.