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Finding the Third Proportional to 11,654.38 and 25,576.94

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Solution

The third proportional to 11,654.38 and 25,576.94 is: 56,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.38 : 25,576.94 = 25,576.94 : x
  2. Step 2: Convert to fraction form
    11,654.38/25,576.94 = 25,576.94/x
  3. Step 3: Cross multiply
    11,654.38x = 25,576.94 × 25,576.94
  4. Step 4: Simplify right side
    11,654.38x = 654,179,731.88
  5. Step 5: Solve for x
    x = 654,179,731.88/11,654.38
  6. Step 6: Final answer
    x = 56,131.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.