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Finding the Third Proportional to 29,244 and 47,096.25

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Solution

The third proportional to 29,244 and 47,096.25 is: 75,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244 : 47,096.25 = 47,096.25 : x
  2. Step 2: Convert to fraction form
    29,244/47,096.25 = 47,096.25/x
  3. Step 3: Cross multiply
    29,244x = 47,096.25 × 47,096.25
  4. Step 4: Simplify right side
    29,244x = 2,218,056,764.06
  5. Step 5: Solve for x
    x = 2,218,056,764.06/29,244
  6. Step 6: Final answer
    x = 75,846.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.