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Finding the Third Proportional to 23,828 and 53,897

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Solution

The third proportional to 23,828 and 53,897 is: 121,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828 : 53,897 = 53,897 : x
  2. Step 2: Convert to fraction form
    23,828/53,897 = 53,897/x
  3. Step 3: Cross multiply
    23,828x = 53,897 × 53,897
  4. Step 4: Simplify right side
    23,828x = 2,904,886,609
  5. Step 5: Solve for x
    x = 2,904,886,609/23,828
  6. Step 6: Final answer
    x = 121,910.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.