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Finding the Third Proportional to 8,091 and 11,772

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Solution

The third proportional to 8,091 and 11,772 is: 17,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 11,772 = 11,772 : x
  2. Step 2: Convert to fraction form
    8,091/11,772 = 11,772/x
  3. Step 3: Cross multiply
    8,091x = 11,772 × 11,772
  4. Step 4: Simplify right side
    8,091x = 138,579,984
  5. Step 5: Solve for x
    x = 138,579,984/8,091
  6. Step 6: Final answer
    x = 17,127.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.