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Finding the Third Proportional to 3,594.80 and 7,822.41

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Solution

The third proportional to 3,594.80 and 7,822.41 is: 17,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.80 : 7,822.41 = 7,822.41 : x
  2. Step 2: Convert to fraction form
    3,594.80/7,822.41 = 7,822.41/x
  3. Step 3: Cross multiply
    3,594.80x = 7,822.41 × 7,822.41
  4. Step 4: Simplify right side
    3,594.80x = 61,190,039.54
  5. Step 5: Solve for x
    x = 61,190,039.54/3,594.80
  6. Step 6: Final answer
    x = 17,021.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.