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Finding the Third Proportional to 3,620.77 and 7,933.41

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Solution

The third proportional to 3,620.77 and 7,933.41 is: 17,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.77 : 7,933.41 = 7,933.41 : x
  2. Step 2: Convert to fraction form
    3,620.77/7,933.41 = 7,933.41/x
  3. Step 3: Cross multiply
    3,620.77x = 7,933.41 × 7,933.41
  4. Step 4: Simplify right side
    3,620.77x = 62,938,934.73
  5. Step 5: Solve for x
    x = 62,938,934.73/3,620.77
  6. Step 6: Final answer
    x = 17,382.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.