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Finding the Third Proportional to 3,575.25 and 5,499.75

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Solution

The third proportional to 3,575.25 and 5,499.75 is: 8,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.25 : 5,499.75 = 5,499.75 : x
  2. Step 2: Convert to fraction form
    3,575.25/5,499.75 = 5,499.75/x
  3. Step 3: Cross multiply
    3,575.25x = 5,499.75 × 5,499.75
  4. Step 4: Simplify right side
    3,575.25x = 30,247,250.06
  5. Step 5: Solve for x
    x = 30,247,250.06/3,575.25
  6. Step 6: Final answer
    x = 8,460.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.