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Finding the Third Proportional to 17,800 and 27,896

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Solution

The third proportional to 17,800 and 27,896 is: 43,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800 : 27,896 = 27,896 : x
  2. Step 2: Convert to fraction form
    17,800/27,896 = 27,896/x
  3. Step 3: Cross multiply
    17,800x = 27,896 × 27,896
  4. Step 4: Simplify right side
    17,800x = 778,186,816
  5. Step 5: Solve for x
    x = 778,186,816/17,800
  6. Step 6: Final answer
    x = 43,718.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.