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Finding the Third Proportional to 3,097 and 6,686

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Solution

The third proportional to 3,097 and 6,686 is: 14,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 6,686 = 6,686 : x
  2. Step 2: Convert to fraction form
    3,097/6,686 = 6,686/x
  3. Step 3: Cross multiply
    3,097x = 6,686 × 6,686
  4. Step 4: Simplify right side
    3,097x = 44,702,596
  5. Step 5: Solve for x
    x = 44,702,596/3,097
  6. Step 6: Final answer
    x = 14,434.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.