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Finding the Third Proportional to 30,976 and 46,504

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Solution

The third proportional to 30,976 and 46,504 is: 69,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976 : 46,504 = 46,504 : x
  2. Step 2: Convert to fraction form
    30,976/46,504 = 46,504/x
  3. Step 3: Cross multiply
    30,976x = 46,504 × 46,504
  4. Step 4: Simplify right side
    30,976x = 2,162,622,016
  5. Step 5: Solve for x
    x = 2,162,622,016/30,976
  6. Step 6: Final answer
    x = 69,816.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.