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Finding the Third Proportional to 45,118.50 and 51,679.50

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Solution

The third proportional to 45,118.50 and 51,679.50 is: 59,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,118.50 : 51,679.50 = 51,679.50 : x
  2. Step 2: Convert to fraction form
    45,118.50/51,679.50 = 51,679.50/x
  3. Step 3: Cross multiply
    45,118.50x = 51,679.50 × 51,679.50
  4. Step 4: Simplify right side
    45,118.50x = 2,670,770,720.25
  5. Step 5: Solve for x
    x = 2,670,770,720.25/45,118.50
  6. Step 6: Final answer
    x = 59,194.58

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.