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Finding the Third Proportional to 20,485 and 44,084

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Solution

The third proportional to 20,485 and 44,084 is: 94,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485 : 44,084 = 44,084 : x
  2. Step 2: Convert to fraction form
    20,485/44,084 = 44,084/x
  3. Step 3: Cross multiply
    20,485x = 44,084 × 44,084
  4. Step 4: Simplify right side
    20,485x = 1,943,399,056
  5. Step 5: Solve for x
    x = 1,943,399,056/20,485
  6. Step 6: Final answer
    x = 94,869.37

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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.