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Finding the Third Proportional to 7,786 and 16,894

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Solution

The third proportional to 7,786 and 16,894 is: 36,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 16,894 = 16,894 : x
  2. Step 2: Convert to fraction form
    7,786/16,894 = 16,894/x
  3. Step 3: Cross multiply
    7,786x = 16,894 × 16,894
  4. Step 4: Simplify right side
    7,786x = 285,407,236
  5. Step 5: Solve for x
    x = 285,407,236/7,786
  6. Step 6: Final answer
    x = 36,656.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.