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Finding the Third Proportional to 30,450 and 40,733

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Solution

The third proportional to 30,450 and 40,733 is: 54,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450 : 40,733 = 40,733 : x
  2. Step 2: Convert to fraction form
    30,450/40,733 = 40,733/x
  3. Step 3: Cross multiply
    30,450x = 40,733 × 40,733
  4. Step 4: Simplify right side
    30,450x = 1,659,177,289
  5. Step 5: Solve for x
    x = 1,659,177,289/30,450
  6. Step 6: Final answer
    x = 54,488.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.