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Finding the Third Proportional to 20,452 and 30,677

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Solution

The third proportional to 20,452 and 30,677 is: 46,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452 : 30,677 = 30,677 : x
  2. Step 2: Convert to fraction form
    20,452/30,677 = 30,677/x
  3. Step 3: Cross multiply
    20,452x = 30,677 × 30,677
  4. Step 4: Simplify right side
    20,452x = 941,078,329
  5. Step 5: Solve for x
    x = 941,078,329/20,452
  6. Step 6: Final answer
    x = 46,014.00

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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.