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Finding the Third Proportional to 20,084 and 43,240

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Solution

The third proportional to 20,084 and 43,240 is: 93,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084 : 43,240 = 43,240 : x
  2. Step 2: Convert to fraction form
    20,084/43,240 = 43,240/x
  3. Step 3: Cross multiply
    20,084x = 43,240 × 43,240
  4. Step 4: Simplify right side
    20,084x = 1,869,697,600
  5. Step 5: Solve for x
    x = 1,869,697,600/20,084
  6. Step 6: Final answer
    x = 93,093.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.