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Finding the Third Proportional to 26,436 and 53,897

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Solution

The third proportional to 26,436 and 53,897 is: 109,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,436 : 53,897 = 53,897 : x
  2. Step 2: Convert to fraction form
    26,436/53,897 = 53,897/x
  3. Step 3: Cross multiply
    26,436x = 53,897 × 53,897
  4. Step 4: Simplify right side
    26,436x = 2,904,886,609
  5. Step 5: Solve for x
    x = 2,904,886,609/26,436
  6. Step 6: Final answer
    x = 109,883.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.