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Finding the Third Proportional to 16,191 and 34,015.50

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Solution

The third proportional to 16,191 and 34,015.50 is: 71,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191 : 34,015.50 = 34,015.50 : x
  2. Step 2: Convert to fraction form
    16,191/34,015.50 = 34,015.50/x
  3. Step 3: Cross multiply
    16,191x = 34,015.50 × 34,015.50
  4. Step 4: Simplify right side
    16,191x = 1,157,054,240.25
  5. Step 5: Solve for x
    x = 1,157,054,240.25/16,191
  6. Step 6: Final answer
    x = 71,462.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.