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Finding the Third Proportional to 20,022 and 46,345

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Solution

The third proportional to 20,022 and 46,345 is: 107,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022 : 46,345 = 46,345 : x
  2. Step 2: Convert to fraction form
    20,022/46,345 = 46,345/x
  3. Step 3: Cross multiply
    20,022x = 46,345 × 46,345
  4. Step 4: Simplify right side
    20,022x = 2,147,859,025
  5. Step 5: Solve for x
    x = 2,147,859,025/20,022
  6. Step 6: Final answer
    x = 107,274.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.