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Finding the Third Proportional to 13,857 and 18,303

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Solution

The third proportional to 13,857 and 18,303 is: 24,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 18,303 = 18,303 : x
  2. Step 2: Convert to fraction form
    13,857/18,303 = 18,303/x
  3. Step 3: Cross multiply
    13,857x = 18,303 × 18,303
  4. Step 4: Simplify right side
    13,857x = 334,999,809
  5. Step 5: Solve for x
    x = 334,999,809/13,857
  6. Step 6: Final answer
    x = 24,175.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.