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Finding the Third Proportional to 18,921.75 and 44,603.25

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Solution

The third proportional to 18,921.75 and 44,603.25 is: 105,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,921.75 : 44,603.25 = 44,603.25 : x
  2. Step 2: Convert to fraction form
    18,921.75/44,603.25 = 44,603.25/x
  3. Step 3: Cross multiply
    18,921.75x = 44,603.25 × 44,603.25
  4. Step 4: Simplify right side
    18,921.75x = 1,989,449,910.56
  5. Step 5: Solve for x
    x = 1,989,449,910.56/18,921.75
  6. Step 6: Final answer
    x = 105,140.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.