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Finding the Third Proportional to 16,183.13 and 23,692.50

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Solution

The third proportional to 16,183.13 and 23,692.50 is: 34,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.13 : 23,692.50 = 23,692.50 : x
  2. Step 2: Convert to fraction form
    16,183.13/23,692.50 = 23,692.50/x
  3. Step 3: Cross multiply
    16,183.13x = 23,692.50 × 23,692.50
  4. Step 4: Simplify right side
    16,183.13x = 561,334,556.25
  5. Step 5: Solve for x
    x = 561,334,556.25/16,183.13
  6. Step 6: Final answer
    x = 34,686.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.