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Finding the Third Proportional to 3,364 and 5,322

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Solution

The third proportional to 3,364 and 5,322 is: 8,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364 : 5,322 = 5,322 : x
  2. Step 2: Convert to fraction form
    3,364/5,322 = 5,322/x
  3. Step 3: Cross multiply
    3,364x = 5,322 × 5,322
  4. Step 4: Simplify right side
    3,364x = 28,323,684
  5. Step 5: Solve for x
    x = 28,323,684/3,364
  6. Step 6: Final answer
    x = 8,419.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.