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Finding the Third Proportional to 47,050 and 66,879

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Solution

The third proportional to 47,050 and 66,879 is: 95,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050 : 66,879 = 66,879 : x
  2. Step 2: Convert to fraction form
    47,050/66,879 = 66,879/x
  3. Step 3: Cross multiply
    47,050x = 66,879 × 66,879
  4. Step 4: Simplify right side
    47,050x = 4,472,800,641
  5. Step 5: Solve for x
    x = 4,472,800,641/47,050
  6. Step 6: Final answer
    x = 95,064.84

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.