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Finding the Third Proportional to 50,601.38 and 75,627

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Solution

The third proportional to 50,601.38 and 75,627 is: 113,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,601.38 : 75,627 = 75,627 : x
  2. Step 2: Convert to fraction form
    50,601.38/75,627 = 75,627/x
  3. Step 3: Cross multiply
    50,601.38x = 75,627 × 75,627
  4. Step 4: Simplify right side
    50,601.38x = 5,719,443,129
  5. Step 5: Solve for x
    x = 5,719,443,129/50,601.38
  6. Step 6: Final answer
    x = 113,029.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.