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Finding the Third Proportional to 6,927 and 10,463.25

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Solution

The third proportional to 6,927 and 10,463.25 is: 15,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927 : 10,463.25 = 10,463.25 : x
  2. Step 2: Convert to fraction form
    6,927/10,463.25 = 10,463.25/x
  3. Step 3: Cross multiply
    6,927x = 10,463.25 × 10,463.25
  4. Step 4: Simplify right side
    6,927x = 109,479,600.56
  5. Step 5: Solve for x
    x = 109,479,600.56/6,927
  6. Step 6: Final answer
    x = 15,804.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.