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Finding the Third Proportional to 11,538.70 and 25,344.14

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Solution

The third proportional to 11,538.70 and 25,344.14 is: 55,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.70 : 25,344.14 = 25,344.14 : x
  2. Step 2: Convert to fraction form
    11,538.70/25,344.14 = 25,344.14/x
  3. Step 3: Cross multiply
    11,538.70x = 25,344.14 × 25,344.14
  4. Step 4: Simplify right side
    11,538.70x = 642,325,464.02
  5. Step 5: Solve for x
    x = 642,325,464.02/11,538.70
  6. Step 6: Final answer
    x = 55,667.04

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Why These Related Problems?

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