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Finding the Third Proportional to 8,682 and 13,097

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Solution

The third proportional to 8,682 and 13,097 is: 19,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 13,097 = 13,097 : x
  2. Step 2: Convert to fraction form
    8,682/13,097 = 13,097/x
  3. Step 3: Cross multiply
    8,682x = 13,097 × 13,097
  4. Step 4: Simplify right side
    8,682x = 171,531,409
  5. Step 5: Solve for x
    x = 171,531,409/8,682
  6. Step 6: Final answer
    x = 19,757.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.