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Finding the Third Proportional to 44,014 and 94,874

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Solution

The third proportional to 44,014 and 94,874 is: 204,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,014 : 94,874 = 94,874 : x
  2. Step 2: Convert to fraction form
    44,014/94,874 = 94,874/x
  3. Step 3: Cross multiply
    44,014x = 94,874 × 94,874
  4. Step 4: Simplify right side
    44,014x = 9,001,075,876
  5. Step 5: Solve for x
    x = 9,001,075,876/44,014
  6. Step 6: Final answer
    x = 204,504.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.