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Finding the Third Proportional to 832.36 and 1,824.19

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Solution

The third proportional to 832.36 and 1,824.19 is: 3,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.36 : 1,824.19 = 1,824.19 : x
  2. Step 2: Convert to fraction form
    832.36/1,824.19 = 1,824.19/x
  3. Step 3: Cross multiply
    832.36x = 1,824.19 × 1,824.19
  4. Step 4: Simplify right side
    832.36x = 3,327,660.04
  5. Step 5: Solve for x
    x = 3,327,660.04/832.36
  6. Step 6: Final answer
    x = 3,997.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.