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Finding the Third Proportional to 11,235 and 23,910

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Solution

The third proportional to 11,235 and 23,910 is: 50,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235 : 23,910 = 23,910 : x
  2. Step 2: Convert to fraction form
    11,235/23,910 = 23,910/x
  3. Step 3: Cross multiply
    11,235x = 23,910 × 23,910
  4. Step 4: Simplify right side
    11,235x = 571,688,100
  5. Step 5: Solve for x
    x = 571,688,100/11,235
  6. Step 6: Final answer
    x = 50,884.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.