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Finding the Third Proportional to 31,944 and 48,777

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Solution

The third proportional to 31,944 and 48,777 is: 74,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,944 : 48,777 = 48,777 : x
  2. Step 2: Convert to fraction form
    31,944/48,777 = 48,777/x
  3. Step 3: Cross multiply
    31,944x = 48,777 × 48,777
  4. Step 4: Simplify right side
    31,944x = 2,379,195,729
  5. Step 5: Solve for x
    x = 2,379,195,729/31,944
  6. Step 6: Final answer
    x = 74,480.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.