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Finding the Third Proportional to 30,744 and 67,506.75

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Solution

The third proportional to 30,744 and 67,506.75 is: 148,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744 : 67,506.75 = 67,506.75 : x
  2. Step 2: Convert to fraction form
    30,744/67,506.75 = 67,506.75/x
  3. Step 3: Cross multiply
    30,744x = 67,506.75 × 67,506.75
  4. Step 4: Simplify right side
    30,744x = 4,557,161,295.56
  5. Step 5: Solve for x
    x = 4,557,161,295.56/30,744
  6. Step 6: Final answer
    x = 148,229.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.