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Finding the Third Proportional to 6,982 and 14,976

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Solution

The third proportional to 6,982 and 14,976 is: 32,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982 : 14,976 = 14,976 : x
  2. Step 2: Convert to fraction form
    6,982/14,976 = 14,976/x
  3. Step 3: Cross multiply
    6,982x = 14,976 × 14,976
  4. Step 4: Simplify right side
    6,982x = 224,280,576
  5. Step 5: Solve for x
    x = 224,280,576/6,982
  6. Step 6: Final answer
    x = 32,122.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.