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Finding the Third Proportional to 18,416 and 27,975

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Solution

The third proportional to 18,416 and 27,975 is: 42,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 27,975 = 27,975 : x
  2. Step 2: Convert to fraction form
    18,416/27,975 = 27,975/x
  3. Step 3: Cross multiply
    18,416x = 27,975 × 27,975
  4. Step 4: Simplify right side
    18,416x = 782,600,625
  5. Step 5: Solve for x
    x = 782,600,625/18,416
  6. Step 6: Final answer
    x = 42,495.69

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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.