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Finding the Third Proportional to 46,339.50 and 76,698

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Solution

The third proportional to 46,339.50 and 76,698 is: 126,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,339.50 : 76,698 = 76,698 : x
  2. Step 2: Convert to fraction form
    46,339.50/76,698 = 76,698/x
  3. Step 3: Cross multiply
    46,339.50x = 76,698 × 76,698
  4. Step 4: Simplify right side
    46,339.50x = 5,882,583,204
  5. Step 5: Solve for x
    x = 5,882,583,204/46,339.50
  6. Step 6: Final answer
    x = 126,945.33

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.