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Finding the Third Proportional to 3,557.25 and 5,579.44

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Solution

The third proportional to 3,557.25 and 5,579.44 is: 8,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.25 : 5,579.44 = 5,579.44 : x
  2. Step 2: Convert to fraction form
    3,557.25/5,579.44 = 5,579.44/x
  3. Step 3: Cross multiply
    3,557.25x = 5,579.44 × 5,579.44
  4. Step 4: Simplify right side
    3,557.25x = 31,130,122.82
  5. Step 5: Solve for x
    x = 31,130,122.82/3,557.25
  6. Step 6: Final answer
    x = 8,751.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.