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Finding the Third Proportional to 49,431.38 and 76,604.63

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Solution

The third proportional to 49,431.38 and 76,604.63 is: 118,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431.38 : 76,604.63 = 76,604.63 : x
  2. Step 2: Convert to fraction form
    49,431.38/76,604.63 = 76,604.63/x
  3. Step 3: Cross multiply
    49,431.38x = 76,604.63 × 76,604.63
  4. Step 4: Simplify right side
    49,431.38x = 5,868,268,571.39
  5. Step 5: Solve for x
    x = 5,868,268,571.39/49,431.38
  6. Step 6: Final answer
    x = 118,715.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.