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Finding the Third Proportional to 23,500.50 and 48,945

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Solution

The third proportional to 23,500.50 and 48,945 is: 101,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.50 : 48,945 = 48,945 : x
  2. Step 2: Convert to fraction form
    23,500.50/48,945 = 48,945/x
  3. Step 3: Cross multiply
    23,500.50x = 48,945 × 48,945
  4. Step 4: Simplify right side
    23,500.50x = 2,395,613,025
  5. Step 5: Solve for x
    x = 2,395,613,025/23,500.50
  6. Step 6: Final answer
    x = 101,938.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.