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Finding the Third Proportional to 9,897 and 21,741

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Solution

The third proportional to 9,897 and 21,741 is: 47,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897 : 21,741 = 21,741 : x
  2. Step 2: Convert to fraction form
    9,897/21,741 = 21,741/x
  3. Step 3: Cross multiply
    9,897x = 21,741 × 21,741
  4. Step 4: Simplify right side
    9,897x = 472,671,081
  5. Step 5: Solve for x
    x = 472,671,081/9,897
  6. Step 6: Final answer
    x = 47,759.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.