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Finding the Third Proportional to 28,846 and 43,809

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Solution

The third proportional to 28,846 and 43,809 is: 66,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,846 : 43,809 = 43,809 : x
  2. Step 2: Convert to fraction form
    28,846/43,809 = 43,809/x
  3. Step 3: Cross multiply
    28,846x = 43,809 × 43,809
  4. Step 4: Simplify right side
    28,846x = 1,919,228,481
  5. Step 5: Solve for x
    x = 1,919,228,481/28,846
  6. Step 6: Final answer
    x = 66,533.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.