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Finding the Third Proportional to 26,174 and 39,807

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Solution

The third proportional to 26,174 and 39,807 is: 60,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174 : 39,807 = 39,807 : x
  2. Step 2: Convert to fraction form
    26,174/39,807 = 39,807/x
  3. Step 3: Cross multiply
    26,174x = 39,807 × 39,807
  4. Step 4: Simplify right side
    26,174x = 1,584,597,249
  5. Step 5: Solve for x
    x = 1,584,597,249/26,174
  6. Step 6: Final answer
    x = 60,540.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.