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Finding the Third Proportional to 29,832.05 and 43,743.80

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Solution

The third proportional to 29,832.05 and 43,743.80 is: 64,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.05 : 43,743.80 = 43,743.80 : x
  2. Step 2: Convert to fraction form
    29,832.05/43,743.80 = 43,743.80/x
  3. Step 3: Cross multiply
    29,832.05x = 43,743.80 × 43,743.80
  4. Step 4: Simplify right side
    29,832.05x = 1,913,519,765.04
  5. Step 5: Solve for x
    x = 1,913,519,765.04/29,832.05
  6. Step 6: Final answer
    x = 64,143.09

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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.