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Finding the Third Proportional to 3,555.25 and 8,305.63

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Solution

The third proportional to 3,555.25 and 8,305.63 is: 19,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,555.25 : 8,305.63 = 8,305.63 : x
  2. Step 2: Convert to fraction form
    3,555.25/8,305.63 = 8,305.63/x
  3. Step 3: Cross multiply
    3,555.25x = 8,305.63 × 8,305.63
  4. Step 4: Simplify right side
    3,555.25x = 68,983,406.64
  5. Step 5: Solve for x
    x = 68,983,406.64/3,555.25
  6. Step 6: Final answer
    x = 19,403.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.