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Finding the Third Proportional to 47,612.81 and 105,021.56

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Solution

The third proportional to 47,612.81 and 105,021.56 is: 231,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,612.81 : 105,021.56 = 105,021.56 : x
  2. Step 2: Convert to fraction form
    47,612.81/105,021.56 = 105,021.56/x
  3. Step 3: Cross multiply
    47,612.81x = 105,021.56 × 105,021.56
  4. Step 4: Simplify right side
    47,612.81x = 11,029,528,589.94
  5. Step 5: Solve for x
    x = 11,029,528,589.94/47,612.81
  6. Step 6: Final answer
    x = 231,650.43

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.