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Finding the Third Proportional to 19,739.75 and 29,845

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Solution

The third proportional to 19,739.75 and 29,845 is: 45,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739.75 : 29,845 = 29,845 : x
  2. Step 2: Convert to fraction form
    19,739.75/29,845 = 29,845/x
  3. Step 3: Cross multiply
    19,739.75x = 29,845 × 29,845
  4. Step 4: Simplify right side
    19,739.75x = 890,724,025
  5. Step 5: Solve for x
    x = 890,724,025/19,739.75
  6. Step 6: Final answer
    x = 45,123.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.