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Finding the Third Proportional to 30,684 and 46,266

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Solution

The third proportional to 30,684 and 46,266 is: 69,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684 : 46,266 = 46,266 : x
  2. Step 2: Convert to fraction form
    30,684/46,266 = 46,266/x
  3. Step 3: Cross multiply
    30,684x = 46,266 × 46,266
  4. Step 4: Simplify right side
    30,684x = 2,140,542,756
  5. Step 5: Solve for x
    x = 2,140,542,756/30,684
  6. Step 6: Final answer
    x = 69,760.88

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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.