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Finding the Third Proportional to 39,874 and 57,955

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Solution

The third proportional to 39,874 and 57,955 is: 84,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,874 : 57,955 = 57,955 : x
  2. Step 2: Convert to fraction form
    39,874/57,955 = 57,955/x
  3. Step 3: Cross multiply
    39,874x = 57,955 × 57,955
  4. Step 4: Simplify right side
    39,874x = 3,358,782,025
  5. Step 5: Solve for x
    x = 3,358,782,025/39,874
  6. Step 6: Final answer
    x = 84,234.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.