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Finding the Third Proportional to 6,975 and 10,827

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Solution

The third proportional to 6,975 and 10,827 is: 16,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975 : 10,827 = 10,827 : x
  2. Step 2: Convert to fraction form
    6,975/10,827 = 10,827/x
  3. Step 3: Cross multiply
    6,975x = 10,827 × 10,827
  4. Step 4: Simplify right side
    6,975x = 117,223,929
  5. Step 5: Solve for x
    x = 117,223,929/6,975
  6. Step 6: Final answer
    x = 16,806.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.