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Finding the Third Proportional to 3,983.25 and 5,858.63

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Solution

The third proportional to 3,983.25 and 5,858.63 is: 8,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.25 : 5,858.63 = 5,858.63 : x
  2. Step 2: Convert to fraction form
    3,983.25/5,858.63 = 5,858.63/x
  3. Step 3: Cross multiply
    3,983.25x = 5,858.63 × 5,858.63
  4. Step 4: Simplify right side
    3,983.25x = 34,323,486.89
  5. Step 5: Solve for x
    x = 34,323,486.89/3,983.25
  6. Step 6: Final answer
    x = 8,616.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.