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Finding the Third Proportional to 13,196 and 18,858

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Solution

The third proportional to 13,196 and 18,858 is: 26,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196 : 18,858 = 18,858 : x
  2. Step 2: Convert to fraction form
    13,196/18,858 = 18,858/x
  3. Step 3: Cross multiply
    13,196x = 18,858 × 18,858
  4. Step 4: Simplify right side
    13,196x = 355,624,164
  5. Step 5: Solve for x
    x = 355,624,164/13,196
  6. Step 6: Final answer
    x = 26,949.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.