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Finding the Third Proportional to 11,773 and 25,187

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Solution

The third proportional to 11,773 and 25,187 is: 53,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773 : 25,187 = 25,187 : x
  2. Step 2: Convert to fraction form
    11,773/25,187 = 25,187/x
  3. Step 3: Cross multiply
    11,773x = 25,187 × 25,187
  4. Step 4: Simplify right side
    11,773x = 634,384,969
  5. Step 5: Solve for x
    x = 634,384,969/11,773
  6. Step 6: Final answer
    x = 53,884.73

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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.