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Finding the Third Proportional to 31,954 and 48,378

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Solution

The third proportional to 31,954 and 48,378 is: 73,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954 : 48,378 = 48,378 : x
  2. Step 2: Convert to fraction form
    31,954/48,378 = 48,378/x
  3. Step 3: Cross multiply
    31,954x = 48,378 × 48,378
  4. Step 4: Simplify right side
    31,954x = 2,340,430,884
  5. Step 5: Solve for x
    x = 2,340,430,884/31,954
  6. Step 6: Final answer
    x = 73,243.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.