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Finding the Third Proportional to 47,797.59 and 75,914.72

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Solution

The third proportional to 47,797.59 and 75,914.72 is: 120,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.59 : 75,914.72 = 75,914.72 : x
  2. Step 2: Convert to fraction form
    47,797.59/75,914.72 = 75,914.72/x
  3. Step 3: Cross multiply
    47,797.59x = 75,914.72 × 75,914.72
  4. Step 4: Simplify right side
    47,797.59x = 5,763,044,522.89
  5. Step 5: Solve for x
    x = 5,763,044,522.89/47,797.59
  6. Step 6: Final answer
    x = 120,571.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.