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Finding the Third Proportional to 18,462 and 28,845

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Solution

The third proportional to 18,462 and 28,845 is: 45,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462 : 28,845 = 28,845 : x
  2. Step 2: Convert to fraction form
    18,462/28,845 = 28,845/x
  3. Step 3: Cross multiply
    18,462x = 28,845 × 28,845
  4. Step 4: Simplify right side
    18,462x = 832,034,025
  5. Step 5: Solve for x
    x = 832,034,025/18,462
  6. Step 6: Final answer
    x = 45,067.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.