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Finding the Third Proportional to 24,242 and 50,680

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Solution

The third proportional to 24,242 and 50,680 is: 105,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242 : 50,680 = 50,680 : x
  2. Step 2: Convert to fraction form
    24,242/50,680 = 50,680/x
  3. Step 3: Cross multiply
    24,242x = 50,680 × 50,680
  4. Step 4: Simplify right side
    24,242x = 2,568,462,400
  5. Step 5: Solve for x
    x = 2,568,462,400/24,242
  6. Step 6: Final answer
    x = 105,950.93

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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.