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Finding the Third Proportional to 14,678 and 30,975

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Solution

The third proportional to 14,678 and 30,975 is: 65,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678 : 30,975 = 30,975 : x
  2. Step 2: Convert to fraction form
    14,678/30,975 = 30,975/x
  3. Step 3: Cross multiply
    14,678x = 30,975 × 30,975
  4. Step 4: Simplify right side
    14,678x = 959,450,625
  5. Step 5: Solve for x
    x = 959,450,625/14,678
  6. Step 6: Final answer
    x = 65,366.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.