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Finding the Third Proportional to 27,734 and 41,955

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Solution

The third proportional to 27,734 and 41,955 is: 63,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734 : 41,955 = 41,955 : x
  2. Step 2: Convert to fraction form
    27,734/41,955 = 41,955/x
  3. Step 3: Cross multiply
    27,734x = 41,955 × 41,955
  4. Step 4: Simplify right side
    27,734x = 1,760,222,025
  5. Step 5: Solve for x
    x = 1,760,222,025/27,734
  6. Step 6: Final answer
    x = 63,468.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.