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Finding the Third Proportional to 3,916.13 and 5,998.22

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Solution

The third proportional to 3,916.13 and 5,998.22 is: 9,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.13 : 5,998.22 = 5,998.22 : x
  2. Step 2: Convert to fraction form
    3,916.13/5,998.22 = 5,998.22/x
  3. Step 3: Cross multiply
    3,916.13x = 5,998.22 × 5,998.22
  4. Step 4: Simplify right side
    3,916.13x = 35,978,628.17
  5. Step 5: Solve for x
    x = 35,978,628.17/3,916.13
  6. Step 6: Final answer
    x = 9,187.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.