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Finding the Third Proportional to 28,446 and 40,975

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Solution

The third proportional to 28,446 and 40,975 is: 59,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446 : 40,975 = 40,975 : x
  2. Step 2: Convert to fraction form
    28,446/40,975 = 40,975/x
  3. Step 3: Cross multiply
    28,446x = 40,975 × 40,975
  4. Step 4: Simplify right side
    28,446x = 1,678,950,625
  5. Step 5: Solve for x
    x = 1,678,950,625/28,446
  6. Step 6: Final answer
    x = 59,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.