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Finding the Third Proportional to 6,538 and 13,918

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Solution

The third proportional to 6,538 and 13,918 is: 29,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 13,918 = 13,918 : x
  2. Step 2: Convert to fraction form
    6,538/13,918 = 13,918/x
  3. Step 3: Cross multiply
    6,538x = 13,918 × 13,918
  4. Step 4: Simplify right side
    6,538x = 193,710,724
  5. Step 5: Solve for x
    x = 193,710,724/6,538
  6. Step 6: Final answer
    x = 29,628.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.