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Finding the Third Proportional to 11,754 and 16,474.50

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Solution

The third proportional to 11,754 and 16,474.50 is: 23,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754 : 16,474.50 = 16,474.50 : x
  2. Step 2: Convert to fraction form
    11,754/16,474.50 = 16,474.50/x
  3. Step 3: Cross multiply
    11,754x = 16,474.50 × 16,474.50
  4. Step 4: Simplify right side
    11,754x = 271,409,150.25
  5. Step 5: Solve for x
    x = 271,409,150.25/11,754
  6. Step 6: Final answer
    x = 23,090.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.