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Finding the Third Proportional to 20,096.44 and 29,563.31

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Solution

The third proportional to 20,096.44 and 29,563.31 is: 43,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.44 : 29,563.31 = 29,563.31 : x
  2. Step 2: Convert to fraction form
    20,096.44/29,563.31 = 29,563.31/x
  3. Step 3: Cross multiply
    20,096.44x = 29,563.31 × 29,563.31
  4. Step 4: Simplify right side
    20,096.44x = 873,989,445.97
  5. Step 5: Solve for x
    x = 873,989,445.97/20,096.44
  6. Step 6: Final answer
    x = 43,489.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.