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Finding the Third Proportional to 11,635 and 24,253

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Solution

The third proportional to 11,635 and 24,253 is: 50,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635 : 24,253 = 24,253 : x
  2. Step 2: Convert to fraction form
    11,635/24,253 = 24,253/x
  3. Step 3: Cross multiply
    11,635x = 24,253 × 24,253
  4. Step 4: Simplify right side
    11,635x = 588,208,009
  5. Step 5: Solve for x
    x = 588,208,009/11,635
  6. Step 6: Final answer
    x = 50,555.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.