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Finding the Third Proportional to 27,860 and 58,017

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Solution

The third proportional to 27,860 and 58,017 is: 120,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860 : 58,017 = 58,017 : x
  2. Step 2: Convert to fraction form
    27,860/58,017 = 58,017/x
  3. Step 3: Cross multiply
    27,860x = 58,017 × 58,017
  4. Step 4: Simplify right side
    27,860x = 3,365,972,289
  5. Step 5: Solve for x
    x = 3,365,972,289/27,860
  6. Step 6: Final answer
    x = 120,817.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.