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Finding the Third Proportional to 4,796.09 and 9,822.80

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Solution

The third proportional to 4,796.09 and 9,822.80 is: 20,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.09 : 9,822.80 = 9,822.80 : x
  2. Step 2: Convert to fraction form
    4,796.09/9,822.80 = 9,822.80/x
  3. Step 3: Cross multiply
    4,796.09x = 9,822.80 × 9,822.80
  4. Step 4: Simplify right side
    4,796.09x = 96,487,338.45
  5. Step 5: Solve for x
    x = 96,487,338.45/4,796.09
  6. Step 6: Final answer
    x = 20,117.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.