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Finding the Third Proportional to 13,652 and 18,345

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Solution

The third proportional to 13,652 and 18,345 is: 24,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652 : 18,345 = 18,345 : x
  2. Step 2: Convert to fraction form
    13,652/18,345 = 18,345/x
  3. Step 3: Cross multiply
    13,652x = 18,345 × 18,345
  4. Step 4: Simplify right side
    13,652x = 336,539,025
  5. Step 5: Solve for x
    x = 336,539,025/13,652
  6. Step 6: Final answer
    x = 24,651.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.