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Finding the Third Proportional to 33,728.63 and 49,499.44

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Solution

The third proportional to 33,728.63 and 49,499.44 is: 72,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728.63 : 49,499.44 = 49,499.44 : x
  2. Step 2: Convert to fraction form
    33,728.63/49,499.44 = 49,499.44/x
  3. Step 3: Cross multiply
    33,728.63x = 49,499.44 × 49,499.44
  4. Step 4: Simplify right side
    33,728.63x = 2,450,194,312.82
  5. Step 5: Solve for x
    x = 2,450,194,312.82/33,728.63
  6. Step 6: Final answer
    x = 72,644.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.