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Finding the Third Proportional to 27,387 and 58,995

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Solution

The third proportional to 27,387 and 58,995 is: 127,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,387 : 58,995 = 58,995 : x
  2. Step 2: Convert to fraction form
    27,387/58,995 = 58,995/x
  3. Step 3: Cross multiply
    27,387x = 58,995 × 58,995
  4. Step 4: Simplify right side
    27,387x = 3,480,410,025
  5. Step 5: Solve for x
    x = 3,480,410,025/27,387
  6. Step 6: Final answer
    x = 127,082.56

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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.