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Finding the Third Proportional to 23,692.50 and 54,708.75

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Solution

The third proportional to 23,692.50 and 54,708.75 is: 126,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.50 : 54,708.75 = 54,708.75 : x
  2. Step 2: Convert to fraction form
    23,692.50/54,708.75 = 54,708.75/x
  3. Step 3: Cross multiply
    23,692.50x = 54,708.75 × 54,708.75
  4. Step 4: Simplify right side
    23,692.50x = 2,993,047,326.56
  5. Step 5: Solve for x
    x = 2,993,047,326.56/23,692.50
  6. Step 6: Final answer
    x = 126,328.89

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.