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Finding the Third Proportional to 3,855.75 and 5,459.63

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Solution

The third proportional to 3,855.75 and 5,459.63 is: 7,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.75 : 5,459.63 = 5,459.63 : x
  2. Step 2: Convert to fraction form
    3,855.75/5,459.63 = 5,459.63/x
  3. Step 3: Cross multiply
    3,855.75x = 5,459.63 × 5,459.63
  4. Step 4: Simplify right side
    3,855.75x = 29,807,505.14
  5. Step 5: Solve for x
    x = 29,807,505.14/3,855.75
  6. Step 6: Final answer
    x = 7,730.66

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.