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Finding the Third Proportional to 31,149 and 48,955

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Solution

The third proportional to 31,149 and 48,955 is: 76,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149 : 48,955 = 48,955 : x
  2. Step 2: Convert to fraction form
    31,149/48,955 = 48,955/x
  3. Step 3: Cross multiply
    31,149x = 48,955 × 48,955
  4. Step 4: Simplify right side
    31,149x = 2,396,592,025
  5. Step 5: Solve for x
    x = 2,396,592,025/31,149
  6. Step 6: Final answer
    x = 76,939.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.