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Finding the Third Proportional to 21,649 and 44,322

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Solution

The third proportional to 21,649 and 44,322 is: 90,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649 : 44,322 = 44,322 : x
  2. Step 2: Convert to fraction form
    21,649/44,322 = 44,322/x
  3. Step 3: Cross multiply
    21,649x = 44,322 × 44,322
  4. Step 4: Simplify right side
    21,649x = 1,964,439,684
  5. Step 5: Solve for x
    x = 1,964,439,684/21,649
  6. Step 6: Final answer
    x = 90,740.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.