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Finding the Third Proportional to 17,786 and 26,728

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Solution

The third proportional to 17,786 and 26,728 is: 40,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786 : 26,728 = 26,728 : x
  2. Step 2: Convert to fraction form
    17,786/26,728 = 26,728/x
  3. Step 3: Cross multiply
    17,786x = 26,728 × 26,728
  4. Step 4: Simplify right side
    17,786x = 714,385,984
  5. Step 5: Solve for x
    x = 714,385,984/17,786
  6. Step 6: Final answer
    x = 40,165.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.