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Finding the Third Proportional to 8,205 and 11,739

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Solution

The third proportional to 8,205 and 11,739 is: 16,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205 : 11,739 = 11,739 : x
  2. Step 2: Convert to fraction form
    8,205/11,739 = 11,739/x
  3. Step 3: Cross multiply
    8,205x = 11,739 × 11,739
  4. Step 4: Simplify right side
    8,205x = 137,804,121
  5. Step 5: Solve for x
    x = 137,804,121/8,205
  6. Step 6: Final answer
    x = 16,795.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.