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Finding the Third Proportional to 3,925.75 and 8,499.25

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Solution

The third proportional to 3,925.75 and 8,499.25 is: 18,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.75 : 8,499.25 = 8,499.25 : x
  2. Step 2: Convert to fraction form
    3,925.75/8,499.25 = 8,499.25/x
  3. Step 3: Cross multiply
    3,925.75x = 8,499.25 × 8,499.25
  4. Step 4: Simplify right side
    3,925.75x = 72,237,250.56
  5. Step 5: Solve for x
    x = 72,237,250.56/3,925.75
  6. Step 6: Final answer
    x = 18,400.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.