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Finding the Third Proportional to 17,333 and 26,827

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Solution

The third proportional to 17,333 and 26,827 is: 41,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,333 : 26,827 = 26,827 : x
  2. Step 2: Convert to fraction form
    17,333/26,827 = 26,827/x
  3. Step 3: Cross multiply
    17,333x = 26,827 × 26,827
  4. Step 4: Simplify right side
    17,333x = 719,687,929
  5. Step 5: Solve for x
    x = 719,687,929/17,333
  6. Step 6: Final answer
    x = 41,521.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.