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Finding the Third Proportional to 9,922 and 14,821

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Solution

The third proportional to 9,922 and 14,821 is: 22,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922 : 14,821 = 14,821 : x
  2. Step 2: Convert to fraction form
    9,922/14,821 = 14,821/x
  3. Step 3: Cross multiply
    9,922x = 14,821 × 14,821
  4. Step 4: Simplify right side
    9,922x = 219,662,041
  5. Step 5: Solve for x
    x = 219,662,041/9,922
  6. Step 6: Final answer
    x = 22,138.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.