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Finding the Third Proportional to 49,679.50 and 76,751.50

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Solution

The third proportional to 49,679.50 and 76,751.50 is: 118,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,679.50 : 76,751.50 = 76,751.50 : x
  2. Step 2: Convert to fraction form
    49,679.50/76,751.50 = 76,751.50/x
  3. Step 3: Cross multiply
    49,679.50x = 76,751.50 × 76,751.50
  4. Step 4: Simplify right side
    49,679.50x = 5,890,792,752.25
  5. Step 5: Solve for x
    x = 5,890,792,752.25/49,679.50
  6. Step 6: Final answer
    x = 118,575.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.