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Finding the Third Proportional to 27,000 and 57,996

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Solution

The third proportional to 27,000 and 57,996 is: 124,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 57,996 = 57,996 : x
  2. Step 2: Convert to fraction form
    27,000/57,996 = 57,996/x
  3. Step 3: Cross multiply
    27,000x = 57,996 × 57,996
  4. Step 4: Simplify right side
    27,000x = 3,363,536,016
  5. Step 5: Solve for x
    x = 3,363,536,016/27,000
  6. Step 6: Final answer
    x = 124,575.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.