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Finding the Third Proportional to 11,652 and 24,906

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Solution

The third proportional to 11,652 and 24,906 is: 53,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652 : 24,906 = 24,906 : x
  2. Step 2: Convert to fraction form
    11,652/24,906 = 24,906/x
  3. Step 3: Cross multiply
    11,652x = 24,906 × 24,906
  4. Step 4: Simplify right side
    11,652x = 620,308,836
  5. Step 5: Solve for x
    x = 620,308,836/11,652
  6. Step 6: Final answer
    x = 53,236.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.