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Finding the Third Proportional to 2,022 and 4,581

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Solution

The third proportional to 2,022 and 4,581 is: 10,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 4,581 = 4,581 : x
  2. Step 2: Convert to fraction form
    2,022/4,581 = 4,581/x
  3. Step 3: Cross multiply
    2,022x = 4,581 × 4,581
  4. Step 4: Simplify right side
    2,022x = 20,985,561
  5. Step 5: Solve for x
    x = 20,985,561/2,022
  6. Step 6: Final answer
    x = 10,378.62

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.