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Finding the Third Proportional to 27,097.50 and 57,147

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Solution

The third proportional to 27,097.50 and 57,147 is: 120,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.50 : 57,147 = 57,147 : x
  2. Step 2: Convert to fraction form
    27,097.50/57,147 = 57,147/x
  3. Step 3: Cross multiply
    27,097.50x = 57,147 × 57,147
  4. Step 4: Simplify right side
    27,097.50x = 3,265,779,609
  5. Step 5: Solve for x
    x = 3,265,779,609/27,097.50
  6. Step 6: Final answer
    x = 120,519.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.