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Finding the Third Proportional to 11,754 and 25,654.50

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Solution

The third proportional to 11,754 and 25,654.50 is: 55,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754 : 25,654.50 = 25,654.50 : x
  2. Step 2: Convert to fraction form
    11,754/25,654.50 = 25,654.50/x
  3. Step 3: Cross multiply
    11,754x = 25,654.50 × 25,654.50
  4. Step 4: Simplify right side
    11,754x = 658,153,370.25
  5. Step 5: Solve for x
    x = 658,153,370.25/11,754
  6. Step 6: Final answer
    x = 55,993.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.