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Finding the Third Proportional to 6,982 and 14,536

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Solution

The third proportional to 6,982 and 14,536 is: 30,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982 : 14,536 = 14,536 : x
  2. Step 2: Convert to fraction form
    6,982/14,536 = 14,536/x
  3. Step 3: Cross multiply
    6,982x = 14,536 × 14,536
  4. Step 4: Simplify right side
    6,982x = 211,295,296
  5. Step 5: Solve for x
    x = 211,295,296/6,982
  6. Step 6: Final answer
    x = 30,262.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.