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Finding the Third Proportional to 9,884 and 21,829

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Solution

The third proportional to 9,884 and 21,829 is: 48,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884 : 21,829 = 21,829 : x
  2. Step 2: Convert to fraction form
    9,884/21,829 = 21,829/x
  3. Step 3: Cross multiply
    9,884x = 21,829 × 21,829
  4. Step 4: Simplify right side
    9,884x = 476,505,241
  5. Step 5: Solve for x
    x = 476,505,241/9,884
  6. Step 6: Final answer
    x = 48,209.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.