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Finding the Third Proportional to 3,669 and 5,522

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Solution

The third proportional to 3,669 and 5,522 is: 8,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,522 = 5,522 : x
  2. Step 2: Convert to fraction form
    3,669/5,522 = 5,522/x
  3. Step 3: Cross multiply
    3,669x = 5,522 × 5,522
  4. Step 4: Simplify right side
    3,669x = 30,492,484
  5. Step 5: Solve for x
    x = 30,492,484/3,669
  6. Step 6: Final answer
    x = 8,310.84

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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.