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Finding the Third Proportional to 13,543 and 18,111

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Solution

The third proportional to 13,543 and 18,111 is: 24,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543 : 18,111 = 18,111 : x
  2. Step 2: Convert to fraction form
    13,543/18,111 = 18,111/x
  3. Step 3: Cross multiply
    13,543x = 18,111 × 18,111
  4. Step 4: Simplify right side
    13,543x = 328,008,321
  5. Step 5: Solve for x
    x = 328,008,321/13,543
  6. Step 6: Final answer
    x = 24,219.77

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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.