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Finding the Third Proportional to 11,886 and 17,897

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Solution

The third proportional to 11,886 and 17,897 is: 26,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886 : 17,897 = 17,897 : x
  2. Step 2: Convert to fraction form
    11,886/17,897 = 17,897/x
  3. Step 3: Cross multiply
    11,886x = 17,897 × 17,897
  4. Step 4: Simplify right side
    11,886x = 320,302,609
  5. Step 5: Solve for x
    x = 320,302,609/11,886
  6. Step 6: Final answer
    x = 26,947.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.