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Finding the Third Proportional to 24,205.50 and 50,233.50

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Solution

The third proportional to 24,205.50 and 50,233.50 is: 104,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.50 : 50,233.50 = 50,233.50 : x
  2. Step 2: Convert to fraction form
    24,205.50/50,233.50 = 50,233.50/x
  3. Step 3: Cross multiply
    24,205.50x = 50,233.50 × 50,233.50
  4. Step 4: Simplify right side
    24,205.50x = 2,523,404,522.25
  5. Step 5: Solve for x
    x = 2,523,404,522.25/24,205.50
  6. Step 6: Final answer
    x = 104,249.22

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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.