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Finding the Third Proportional to 33,729 and 49,296

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Solution

The third proportional to 33,729 and 49,296 is: 72,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729 : 49,296 = 49,296 : x
  2. Step 2: Convert to fraction form
    33,729/49,296 = 49,296/x
  3. Step 3: Cross multiply
    33,729x = 49,296 × 49,296
  4. Step 4: Simplify right side
    33,729x = 2,430,095,616
  5. Step 5: Solve for x
    x = 2,430,095,616/33,729
  6. Step 6: Final answer
    x = 72,047.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.