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Finding the Third Proportional to 4,298 and 9,821

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Solution

The third proportional to 4,298 and 9,821 is: 22,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298 : 9,821 = 9,821 : x
  2. Step 2: Convert to fraction form
    4,298/9,821 = 9,821/x
  3. Step 3: Cross multiply
    4,298x = 9,821 × 9,821
  4. Step 4: Simplify right side
    4,298x = 96,452,041
  5. Step 5: Solve for x
    x = 96,452,041/4,298
  6. Step 6: Final answer
    x = 22,441.14

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.