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Finding the Third Proportional to 6,974.25 and 10,476.75

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Solution

The third proportional to 6,974.25 and 10,476.75 is: 15,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.25 : 10,476.75 = 10,476.75 : x
  2. Step 2: Convert to fraction form
    6,974.25/10,476.75 = 10,476.75/x
  3. Step 3: Cross multiply
    6,974.25x = 10,476.75 × 10,476.75
  4. Step 4: Simplify right side
    6,974.25x = 109,762,290.56
  5. Step 5: Solve for x
    x = 109,762,290.56/6,974.25
  6. Step 6: Final answer
    x = 15,738.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.