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Finding the Third Proportional to 24,066 and 50,318

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Solution

The third proportional to 24,066 and 50,318 is: 105,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,066 : 50,318 = 50,318 : x
  2. Step 2: Convert to fraction form
    24,066/50,318 = 50,318/x
  3. Step 3: Cross multiply
    24,066x = 50,318 × 50,318
  4. Step 4: Simplify right side
    24,066x = 2,531,901,124
  5. Step 5: Solve for x
    x = 2,531,901,124/24,066
  6. Step 6: Final answer
    x = 105,206.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.