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Finding the Third Proportional to 31,696 and 48,907

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Solution

The third proportional to 31,696 and 48,907 is: 75,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696 : 48,907 = 48,907 : x
  2. Step 2: Convert to fraction form
    31,696/48,907 = 48,907/x
  3. Step 3: Cross multiply
    31,696x = 48,907 × 48,907
  4. Step 4: Simplify right side
    31,696x = 2,391,894,649
  5. Step 5: Solve for x
    x = 2,391,894,649/31,696
  6. Step 6: Final answer
    x = 75,463.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.