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Finding the Third Proportional to 27,019 and 58,199

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Solution

The third proportional to 27,019 and 58,199 is: 125,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019 : 58,199 = 58,199 : x
  2. Step 2: Convert to fraction form
    27,019/58,199 = 58,199/x
  3. Step 3: Cross multiply
    27,019x = 58,199 × 58,199
  4. Step 4: Simplify right side
    27,019x = 3,387,123,601
  5. Step 5: Solve for x
    x = 3,387,123,601/27,019
  6. Step 6: Final answer
    x = 125,360.81

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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.