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Finding the Third Proportional to 20,448 and 30,672

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Solution

The third proportional to 20,448 and 30,672 is: 46,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 30,672 = 30,672 : x
  2. Step 2: Convert to fraction form
    20,448/30,672 = 30,672/x
  3. Step 3: Cross multiply
    20,448x = 30,672 × 30,672
  4. Step 4: Simplify right side
    20,448x = 940,771,584
  5. Step 5: Solve for x
    x = 940,771,584/20,448
  6. Step 6: Final answer
    x = 46,008

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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.