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Finding the Third Proportional to 9,804 and 16,266

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Solution

The third proportional to 9,804 and 16,266 is: 26,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804 : 16,266 = 16,266 : x
  2. Step 2: Convert to fraction form
    9,804/16,266 = 16,266/x
  3. Step 3: Cross multiply
    9,804x = 16,266 × 16,266
  4. Step 4: Simplify right side
    9,804x = 264,582,756
  5. Step 5: Solve for x
    x = 264,582,756/9,804
  6. Step 6: Final answer
    x = 26,987.23

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.