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Finding the Third Proportional to 18,974.25 and 29,760.75

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Solution

The third proportional to 18,974.25 and 29,760.75 is: 46,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.25 : 29,760.75 = 29,760.75 : x
  2. Step 2: Convert to fraction form
    18,974.25/29,760.75 = 29,760.75/x
  3. Step 3: Cross multiply
    18,974.25x = 29,760.75 × 29,760.75
  4. Step 4: Simplify right side
    18,974.25x = 885,702,240.56
  5. Step 5: Solve for x
    x = 885,702,240.56/18,974.25
  6. Step 6: Final answer
    x = 46,679.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.