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Finding the Third Proportional to 2,575.88 and 6,003.75

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Solution

The third proportional to 2,575.88 and 6,003.75 is: 13,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.88 : 6,003.75 = 6,003.75 : x
  2. Step 2: Convert to fraction form
    2,575.88/6,003.75 = 6,003.75/x
  3. Step 3: Cross multiply
    2,575.88x = 6,003.75 × 6,003.75
  4. Step 4: Simplify right side
    2,575.88x = 36,045,014.06
  5. Step 5: Solve for x
    x = 36,045,014.06/2,575.88
  6. Step 6: Final answer
    x = 13,993.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.