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Finding the Third Proportional to 24,050 and 35,144

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Solution

The third proportional to 24,050 and 35,144 is: 51,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050 : 35,144 = 35,144 : x
  2. Step 2: Convert to fraction form
    24,050/35,144 = 35,144/x
  3. Step 3: Cross multiply
    24,050x = 35,144 × 35,144
  4. Step 4: Simplify right side
    24,050x = 1,235,100,736
  5. Step 5: Solve for x
    x = 1,235,100,736/24,050
  6. Step 6: Final answer
    x = 51,355.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.