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Finding the Third Proportional to 49,596.75 and 75,433.03

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Solution

The third proportional to 49,596.75 and 75,433.03 is: 114,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596.75 : 75,433.03 = 75,433.03 : x
  2. Step 2: Convert to fraction form
    49,596.75/75,433.03 = 75,433.03/x
  3. Step 3: Cross multiply
    49,596.75x = 75,433.03 × 75,433.03
  4. Step 4: Simplify right side
    49,596.75x = 5,690,142,203.56
  5. Step 5: Solve for x
    x = 5,690,142,203.56/49,596.75
  6. Step 6: Final answer
    x = 114,728.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.