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Finding the Third Proportional to 30,994 and 46,782

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Solution

The third proportional to 30,994 and 46,782 is: 70,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994 : 46,782 = 46,782 : x
  2. Step 2: Convert to fraction form
    30,994/46,782 = 46,782/x
  3. Step 3: Cross multiply
    30,994x = 46,782 × 46,782
  4. Step 4: Simplify right side
    30,994x = 2,188,555,524
  5. Step 5: Solve for x
    x = 2,188,555,524/30,994
  6. Step 6: Final answer
    x = 70,612.23

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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.