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Finding the Third Proportional to 28,736 and 63,296

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Solution

The third proportional to 28,736 and 63,296 is: 139,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,736 : 63,296 = 63,296 : x
  2. Step 2: Convert to fraction form
    28,736/63,296 = 63,296/x
  3. Step 3: Cross multiply
    28,736x = 63,296 × 63,296
  4. Step 4: Simplify right side
    28,736x = 4,006,383,616
  5. Step 5: Solve for x
    x = 4,006,383,616/28,736
  6. Step 6: Final answer
    x = 139,420.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.