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Finding the Third Proportional to 18,816 and 28,256

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Solution

The third proportional to 18,816 and 28,256 is: 42,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,816 : 28,256 = 28,256 : x
  2. Step 2: Convert to fraction form
    18,816/28,256 = 28,256/x
  3. Step 3: Cross multiply
    18,816x = 28,256 × 28,256
  4. Step 4: Simplify right side
    18,816x = 798,401,536
  5. Step 5: Solve for x
    x = 798,401,536/18,816
  6. Step 6: Final answer
    x = 42,432.05

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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.