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Finding the Third Proportional to 11,333 and 24,907

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Solution

The third proportional to 11,333 and 24,907 is: 54,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333 : 24,907 = 24,907 : x
  2. Step 2: Convert to fraction form
    11,333/24,907 = 24,907/x
  3. Step 3: Cross multiply
    11,333x = 24,907 × 24,907
  4. Step 4: Simplify right side
    11,333x = 620,358,649
  5. Step 5: Solve for x
    x = 620,358,649/11,333
  6. Step 6: Final answer
    x = 54,739.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.