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Finding the Third Proportional to 27,478 and 59,993

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Solution

The third proportional to 27,478 and 59,993 is: 130,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478 : 59,993 = 59,993 : x
  2. Step 2: Convert to fraction form
    27,478/59,993 = 59,993/x
  3. Step 3: Cross multiply
    27,478x = 59,993 × 59,993
  4. Step 4: Simplify right side
    27,478x = 3,599,160,049
  5. Step 5: Solve for x
    x = 3,599,160,049/27,478
  6. Step 6: Final answer
    x = 130,983.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.