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Finding the Third Proportional to 24,237 and 50,670

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Solution

The third proportional to 24,237 and 50,670 is: 105,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,237 : 50,670 = 50,670 : x
  2. Step 2: Convert to fraction form
    24,237/50,670 = 50,670/x
  3. Step 3: Cross multiply
    24,237x = 50,670 × 50,670
  4. Step 4: Simplify right side
    24,237x = 2,567,448,900
  5. Step 5: Solve for x
    x = 2,567,448,900/24,237
  6. Step 6: Final answer
    x = 105,930.97

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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.