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Finding the Third Proportional to 13,624 and 24,296

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Solution

The third proportional to 13,624 and 24,296 is: 43,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624 : 24,296 = 24,296 : x
  2. Step 2: Convert to fraction form
    13,624/24,296 = 24,296/x
  3. Step 3: Cross multiply
    13,624x = 24,296 × 24,296
  4. Step 4: Simplify right side
    13,624x = 590,295,616
  5. Step 5: Solve for x
    x = 590,295,616/13,624
  6. Step 6: Final answer
    x = 43,327.63

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.