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Finding the Third Proportional to 46,469.50 and 73,856

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Solution

The third proportional to 46,469.50 and 73,856 is: 117,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.50 : 73,856 = 73,856 : x
  2. Step 2: Convert to fraction form
    46,469.50/73,856 = 73,856/x
  3. Step 3: Cross multiply
    46,469.50x = 73,856 × 73,856
  4. Step 4: Simplify right side
    46,469.50x = 5,454,708,736
  5. Step 5: Solve for x
    x = 5,454,708,736/46,469.50
  6. Step 6: Final answer
    x = 117,382.56

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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.