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Finding the Third Proportional to 4,949 and 10,897

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Solution

The third proportional to 4,949 and 10,897 is: 23,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949 : 10,897 = 10,897 : x
  2. Step 2: Convert to fraction form
    4,949/10,897 = 10,897/x
  3. Step 3: Cross multiply
    4,949x = 10,897 × 10,897
  4. Step 4: Simplify right side
    4,949x = 118,744,609
  5. Step 5: Solve for x
    x = 118,744,609/4,949
  6. Step 6: Final answer
    x = 23,993.66

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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.