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Finding the Third Proportional to 10,185.75 and 21,184.03

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Solution

The third proportional to 10,185.75 and 21,184.03 is: 44,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.75 : 21,184.03 = 21,184.03 : x
  2. Step 2: Convert to fraction form
    10,185.75/21,184.03 = 21,184.03/x
  3. Step 3: Cross multiply
    10,185.75x = 21,184.03 × 21,184.03
  4. Step 4: Simplify right side
    10,185.75x = 448,763,180.00
  5. Step 5: Solve for x
    x = 448,763,180.00/10,185.75
  6. Step 6: Final answer
    x = 44,057.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.