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Finding the Third Proportional to 6,003.75 and 9,498.88

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Solution

The third proportional to 6,003.75 and 9,498.88 is: 15,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.75 : 9,498.88 = 9,498.88 : x
  2. Step 2: Convert to fraction form
    6,003.75/9,498.88 = 9,498.88/x
  3. Step 3: Cross multiply
    6,003.75x = 9,498.88 × 9,498.88
  4. Step 4: Simplify right side
    6,003.75x = 90,228,626.27
  5. Step 5: Solve for x
    x = 90,228,626.27/6,003.75
  6. Step 6: Final answer
    x = 15,028.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.