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Finding the Third Proportional to 17,222 and 26,673

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Solution

The third proportional to 17,222 and 26,673 is: 41,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222 : 26,673 = 26,673 : x
  2. Step 2: Convert to fraction form
    17,222/26,673 = 26,673/x
  3. Step 3: Cross multiply
    17,222x = 26,673 × 26,673
  4. Step 4: Simplify right side
    17,222x = 711,448,929
  5. Step 5: Solve for x
    x = 711,448,929/17,222
  6. Step 6: Final answer
    x = 41,310.47

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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.