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Finding the Third Proportional to 11,499.75 and 25,692.75

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Solution

The third proportional to 11,499.75 and 25,692.75 is: 57,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.75 : 25,692.75 = 25,692.75 : x
  2. Step 2: Convert to fraction form
    11,499.75/25,692.75 = 25,692.75/x
  3. Step 3: Cross multiply
    11,499.75x = 25,692.75 × 25,692.75
  4. Step 4: Simplify right side
    11,499.75x = 660,117,402.56
  5. Step 5: Solve for x
    x = 660,117,402.56/11,499.75
  6. Step 6: Final answer
    x = 57,402.76

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.