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Finding the Third Proportional to 16,086 and 35,443.50

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Solution

The third proportional to 16,086 and 35,443.50 is: 78,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086 : 35,443.50 = 35,443.50 : x
  2. Step 2: Convert to fraction form
    16,086/35,443.50 = 35,443.50/x
  3. Step 3: Cross multiply
    16,086x = 35,443.50 × 35,443.50
  4. Step 4: Simplify right side
    16,086x = 1,256,241,692.25
  5. Step 5: Solve for x
    x = 1,256,241,692.25/16,086
  6. Step 6: Final answer
    x = 78,095.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.