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Finding the Third Proportional to 13,055 and 19,111

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Solution

The third proportional to 13,055 and 19,111 is: 27,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055 : 19,111 = 19,111 : x
  2. Step 2: Convert to fraction form
    13,055/19,111 = 19,111/x
  3. Step 3: Cross multiply
    13,055x = 19,111 × 19,111
  4. Step 4: Simplify right side
    13,055x = 365,230,321
  5. Step 5: Solve for x
    x = 365,230,321/13,055
  6. Step 6: Final answer
    x = 27,976.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.