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Finding the Third Proportional to 14,784 and 20,256

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Solution

The third proportional to 14,784 and 20,256 is: 27,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 20,256 = 20,256 : x
  2. Step 2: Convert to fraction form
    14,784/20,256 = 20,256/x
  3. Step 3: Cross multiply
    14,784x = 20,256 × 20,256
  4. Step 4: Simplify right side
    14,784x = 410,305,536
  5. Step 5: Solve for x
    x = 410,305,536/14,784
  6. Step 6: Final answer
    x = 27,753.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.