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Finding the Third Proportional to 5,979 and 12,786

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Solution

The third proportional to 5,979 and 12,786 is: 27,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979 : 12,786 = 12,786 : x
  2. Step 2: Convert to fraction form
    5,979/12,786 = 12,786/x
  3. Step 3: Cross multiply
    5,979x = 12,786 × 12,786
  4. Step 4: Simplify right side
    5,979x = 163,481,796
  5. Step 5: Solve for x
    x = 163,481,796/5,979
  6. Step 6: Final answer
    x = 27,342.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.