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Finding the Third Proportional to 27,159 and 58,017

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Solution

The third proportional to 27,159 and 58,017 is: 123,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159 : 58,017 = 58,017 : x
  2. Step 2: Convert to fraction form
    27,159/58,017 = 58,017/x
  3. Step 3: Cross multiply
    27,159x = 58,017 × 58,017
  4. Step 4: Simplify right side
    27,159x = 3,365,972,289
  5. Step 5: Solve for x
    x = 3,365,972,289/27,159
  6. Step 6: Final answer
    x = 123,935.80

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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.