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Finding the Third Proportional to 30,876 and 46,462

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Solution

The third proportional to 30,876 and 46,462 is: 69,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876 : 46,462 = 46,462 : x
  2. Step 2: Convert to fraction form
    30,876/46,462 = 46,462/x
  3. Step 3: Cross multiply
    30,876x = 46,462 × 46,462
  4. Step 4: Simplify right side
    30,876x = 2,158,717,444
  5. Step 5: Solve for x
    x = 2,158,717,444/30,876
  6. Step 6: Final answer
    x = 69,915.71

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