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Finding the Third Proportional to 28,892 and 45,845

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Solution

The third proportional to 28,892 and 45,845 is: 72,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,892 : 45,845 = 45,845 : x
  2. Step 2: Convert to fraction form
    28,892/45,845 = 45,845/x
  3. Step 3: Cross multiply
    28,892x = 45,845 × 45,845
  4. Step 4: Simplify right side
    28,892x = 2,101,764,025
  5. Step 5: Solve for x
    x = 2,101,764,025/28,892
  6. Step 6: Final answer
    x = 72,745.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.