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Finding the Third Proportional to 20,902 and 44,640

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Solution

The third proportional to 20,902 and 44,640 is: 95,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902 : 44,640 = 44,640 : x
  2. Step 2: Convert to fraction form
    20,902/44,640 = 44,640/x
  3. Step 3: Cross multiply
    20,902x = 44,640 × 44,640
  4. Step 4: Simplify right side
    20,902x = 1,992,729,600
  5. Step 5: Solve for x
    x = 1,992,729,600/20,902
  6. Step 6: Final answer
    x = 95,336.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.