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Finding the Third Proportional to 7,786 and 16,796

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Solution

The third proportional to 7,786 and 16,796 is: 36,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 16,796 = 16,796 : x
  2. Step 2: Convert to fraction form
    7,786/16,796 = 16,796/x
  3. Step 3: Cross multiply
    7,786x = 16,796 × 16,796
  4. Step 4: Simplify right side
    7,786x = 282,105,616
  5. Step 5: Solve for x
    x = 282,105,616/7,786
  6. Step 6: Final answer
    x = 36,232.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.