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Finding the Third Proportional to 20,147 and 30,640

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Solution

The third proportional to 20,147 and 30,640 is: 46,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 30,640 = 30,640 : x
  2. Step 2: Convert to fraction form
    20,147/30,640 = 30,640/x
  3. Step 3: Cross multiply
    20,147x = 30,640 × 30,640
  4. Step 4: Simplify right side
    20,147x = 938,809,600
  5. Step 5: Solve for x
    x = 938,809,600/20,147
  6. Step 6: Final answer
    x = 46,597.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.