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Finding the Third Proportional to 19,744 and 30,115

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Solution

The third proportional to 19,744 and 30,115 is: 45,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 30,115 = 30,115 : x
  2. Step 2: Convert to fraction form
    19,744/30,115 = 30,115/x
  3. Step 3: Cross multiply
    19,744x = 30,115 × 30,115
  4. Step 4: Simplify right side
    19,744x = 906,913,225
  5. Step 5: Solve for x
    x = 906,913,225/19,744
  6. Step 6: Final answer
    x = 45,933.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.