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Finding the Third Proportional to 13,816 and 19,460

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Solution

The third proportional to 13,816 and 19,460 is: 27,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 19,460 = 19,460 : x
  2. Step 2: Convert to fraction form
    13,816/19,460 = 19,460/x
  3. Step 3: Cross multiply
    13,816x = 19,460 × 19,460
  4. Step 4: Simplify right side
    13,816x = 378,691,600
  5. Step 5: Solve for x
    x = 378,691,600/13,816
  6. Step 6: Final answer
    x = 27,409.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.