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Finding the Third Proportional to 27,417 and 58,993

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Solution

The third proportional to 27,417 and 58,993 is: 126,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 58,993 = 58,993 : x
  2. Step 2: Convert to fraction form
    27,417/58,993 = 58,993/x
  3. Step 3: Cross multiply
    27,417x = 58,993 × 58,993
  4. Step 4: Simplify right side
    27,417x = 3,480,174,049
  5. Step 5: Solve for x
    x = 3,480,174,049/27,417
  6. Step 6: Final answer
    x = 126,934.90

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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.