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Finding the Third Proportional to 26,856 and 57,600

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Solution

The third proportional to 26,856 and 57,600 is: 123,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856 : 57,600 = 57,600 : x
  2. Step 2: Convert to fraction form
    26,856/57,600 = 57,600/x
  3. Step 3: Cross multiply
    26,856x = 57,600 × 57,600
  4. Step 4: Simplify right side
    26,856x = 3,317,760,000
  5. Step 5: Solve for x
    x = 3,317,760,000/26,856
  6. Step 6: Final answer
    x = 123,538.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.