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Finding the Third Proportional to 4,080 and 8,322

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Solution

The third proportional to 4,080 and 8,322 is: 16,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 8,322 = 8,322 : x
  2. Step 2: Convert to fraction form
    4,080/8,322 = 8,322/x
  3. Step 3: Cross multiply
    4,080x = 8,322 × 8,322
  4. Step 4: Simplify right side
    4,080x = 69,255,684
  5. Step 5: Solve for x
    x = 69,255,684/4,080
  6. Step 6: Final answer
    x = 16,974.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.