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Finding the Third Proportional to 20,024 and 46,406

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Solution

The third proportional to 20,024 and 46,406 is: 107,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024 : 46,406 = 46,406 : x
  2. Step 2: Convert to fraction form
    20,024/46,406 = 46,406/x
  3. Step 3: Cross multiply
    20,024x = 46,406 × 46,406
  4. Step 4: Simplify right side
    20,024x = 2,153,516,836
  5. Step 5: Solve for x
    x = 2,153,516,836/20,024
  6. Step 6: Final answer
    x = 107,546.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.