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Finding the Third Proportional to 23,692.50 and 54,847.13

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Solution

The third proportional to 23,692.50 and 54,847.13 is: 126,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.50 : 54,847.13 = 54,847.13 : x
  2. Step 2: Convert to fraction form
    23,692.50/54,847.13 = 54,847.13/x
  3. Step 3: Cross multiply
    23,692.50x = 54,847.13 × 54,847.13
  4. Step 4: Simplify right side
    23,692.50x = 3,008,207,120.77
  5. Step 5: Solve for x
    x = 3,008,207,120.77/23,692.50
  6. Step 6: Final answer
    x = 126,968.75

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Why These Related Problems?

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