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Finding the Third Proportional to 3,832.31 and 5,423.06

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Solution

The third proportional to 3,832.31 and 5,423.06 is: 7,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.31 : 5,423.06 = 5,423.06 : x
  2. Step 2: Convert to fraction form
    3,832.31/5,423.06 = 5,423.06/x
  3. Step 3: Cross multiply
    3,832.31x = 5,423.06 × 5,423.06
  4. Step 4: Simplify right side
    3,832.31x = 29,409,606.88
  5. Step 5: Solve for x
    x = 29,409,606.88/3,832.31
  6. Step 6: Final answer
    x = 7,674.12

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Why These Related Problems?

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