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Finding the Third Proportional to 17,516 and 27,857

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Solution

The third proportional to 17,516 and 27,857 is: 44,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,516 : 27,857 = 27,857 : x
  2. Step 2: Convert to fraction form
    17,516/27,857 = 27,857/x
  3. Step 3: Cross multiply
    17,516x = 27,857 × 27,857
  4. Step 4: Simplify right side
    17,516x = 776,012,449
  5. Step 5: Solve for x
    x = 776,012,449/17,516
  6. Step 6: Final answer
    x = 44,303.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.