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Finding the Third Proportional to 27,000 and 58,692

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Solution

The third proportional to 27,000 and 58,692 is: 127,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 58,692 = 58,692 : x
  2. Step 2: Convert to fraction form
    27,000/58,692 = 58,692/x
  3. Step 3: Cross multiply
    27,000x = 58,692 × 58,692
  4. Step 4: Simplify right side
    27,000x = 3,444,750,864
  5. Step 5: Solve for x
    x = 3,444,750,864/27,000
  6. Step 6: Final answer
    x = 127,583.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.