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Finding the Third Proportional to 11,205 and 23,739

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Solution

The third proportional to 11,205 and 23,739 is: 50,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205 : 23,739 = 23,739 : x
  2. Step 2: Convert to fraction form
    11,205/23,739 = 23,739/x
  3. Step 3: Cross multiply
    11,205x = 23,739 × 23,739
  4. Step 4: Simplify right side
    11,205x = 563,540,121
  5. Step 5: Solve for x
    x = 563,540,121/11,205
  6. Step 6: Final answer
    x = 50,293.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.