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Finding the Third Proportional to 4,669.03 and 9,770.91

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Solution

The third proportional to 4,669.03 and 9,770.91 is: 20,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.03 : 9,770.91 = 9,770.91 : x
  2. Step 2: Convert to fraction form
    4,669.03/9,770.91 = 9,770.91/x
  3. Step 3: Cross multiply
    4,669.03x = 9,770.91 × 9,770.91
  4. Step 4: Simplify right side
    4,669.03x = 95,470,608.95
  5. Step 5: Solve for x
    x = 95,470,608.95/4,669.03
  6. Step 6: Final answer
    x = 20,447.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.