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Finding the Third Proportional to 30,733 and 46,381

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Solution

The third proportional to 30,733 and 46,381 is: 69,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733 : 46,381 = 46,381 : x
  2. Step 2: Convert to fraction form
    30,733/46,381 = 46,381/x
  3. Step 3: Cross multiply
    30,733x = 46,381 × 46,381
  4. Step 4: Simplify right side
    30,733x = 2,151,197,161
  5. Step 5: Solve for x
    x = 2,151,197,161/30,733
  6. Step 6: Final answer
    x = 69,996.33

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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.