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Finding the Third Proportional to 8,054 and 16,982

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Solution

The third proportional to 8,054 and 16,982 is: 35,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054 : 16,982 = 16,982 : x
  2. Step 2: Convert to fraction form
    8,054/16,982 = 16,982/x
  3. Step 3: Cross multiply
    8,054x = 16,982 × 16,982
  4. Step 4: Simplify right side
    8,054x = 288,388,324
  5. Step 5: Solve for x
    x = 288,388,324/8,054
  6. Step 6: Final answer
    x = 35,806.84

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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.