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Finding the Third Proportional to 3,097 and 6,539

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Solution

The third proportional to 3,097 and 6,539 is: 13,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 6,539 = 6,539 : x
  2. Step 2: Convert to fraction form
    3,097/6,539 = 6,539/x
  3. Step 3: Cross multiply
    3,097x = 6,539 × 6,539
  4. Step 4: Simplify right side
    3,097x = 42,758,521
  5. Step 5: Solve for x
    x = 42,758,521/3,097
  6. Step 6: Final answer
    x = 13,806.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.