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Finding the Third Proportional to 38,101.50 and 43,245

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Solution

The third proportional to 38,101.50 and 43,245 is: 49,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.50 : 43,245 = 43,245 : x
  2. Step 2: Convert to fraction form
    38,101.50/43,245 = 43,245/x
  3. Step 3: Cross multiply
    38,101.50x = 43,245 × 43,245
  4. Step 4: Simplify right side
    38,101.50x = 1,870,130,025
  5. Step 5: Solve for x
    x = 1,870,130,025/38,101.50
  6. Step 6: Final answer
    x = 49,082.85

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.