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Finding the Third Proportional to 23,424 and 50,430

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Solution

The third proportional to 23,424 and 50,430 is: 108,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424 : 50,430 = 50,430 : x
  2. Step 2: Convert to fraction form
    23,424/50,430 = 50,430/x
  3. Step 3: Cross multiply
    23,424x = 50,430 × 50,430
  4. Step 4: Simplify right side
    23,424x = 2,543,184,900
  5. Step 5: Solve for x
    x = 2,543,184,900/23,424
  6. Step 6: Final answer
    x = 108,571.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.