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Finding the Third Proportional to 27,173 and 57,958

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Solution

The third proportional to 27,173 and 57,958 is: 123,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,173 : 57,958 = 57,958 : x
  2. Step 2: Convert to fraction form
    27,173/57,958 = 57,958/x
  3. Step 3: Cross multiply
    27,173x = 57,958 × 57,958
  4. Step 4: Simplify right side
    27,173x = 3,359,129,764
  5. Step 5: Solve for x
    x = 3,359,129,764/27,173
  6. Step 6: Final answer
    x = 123,620.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.