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Finding the Third Proportional to 29,976.28 and 43,992.42

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Solution

The third proportional to 29,976.28 and 43,992.42 is: 64,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976.28 : 43,992.42 = 43,992.42 : x
  2. Step 2: Convert to fraction form
    29,976.28/43,992.42 = 43,992.42/x
  3. Step 3: Cross multiply
    29,976.28x = 43,992.42 × 43,992.42
  4. Step 4: Simplify right side
    29,976.28x = 1,935,333,182.43
  5. Step 5: Solve for x
    x = 1,935,333,182.43/29,976.28
  6. Step 6: Final answer
    x = 64,562.15

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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.