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Finding the Third Proportional to 8,723 and 13,345

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Solution

The third proportional to 8,723 and 13,345 is: 20,416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723 : 13,345 = 13,345 : x
  2. Step 2: Convert to fraction form
    8,723/13,345 = 13,345/x
  3. Step 3: Cross multiply
    8,723x = 13,345 × 13,345
  4. Step 4: Simplify right side
    8,723x = 178,089,025
  5. Step 5: Solve for x
    x = 178,089,025/8,723
  6. Step 6: Final answer
    x = 20,416.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.