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Finding the Third Proportional to 3,647.25 and 4,919.63

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Solution

The third proportional to 3,647.25 and 4,919.63 is: 6,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.25 : 4,919.63 = 4,919.63 : x
  2. Step 2: Convert to fraction form
    3,647.25/4,919.63 = 4,919.63/x
  3. Step 3: Cross multiply
    3,647.25x = 4,919.63 × 4,919.63
  4. Step 4: Simplify right side
    3,647.25x = 24,202,710.14
  5. Step 5: Solve for x
    x = 24,202,710.14/3,647.25
  6. Step 6: Final answer
    x = 6,635.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.