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Finding the Third Proportional to 13,116 and 18,178

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Solution

The third proportional to 13,116 and 18,178 is: 25,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116 : 18,178 = 18,178 : x
  2. Step 2: Convert to fraction form
    13,116/18,178 = 18,178/x
  3. Step 3: Cross multiply
    13,116x = 18,178 × 18,178
  4. Step 4: Simplify right side
    13,116x = 330,439,684
  5. Step 5: Solve for x
    x = 330,439,684/13,116
  6. Step 6: Final answer
    x = 25,193.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.