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Finding the Third Proportional to 31,947 and 48,366

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Solution

The third proportional to 31,947 and 48,366 is: 73,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947 : 48,366 = 48,366 : x
  2. Step 2: Convert to fraction form
    31,947/48,366 = 48,366/x
  3. Step 3: Cross multiply
    31,947x = 48,366 × 48,366
  4. Step 4: Simplify right side
    31,947x = 2,339,269,956
  5. Step 5: Solve for x
    x = 2,339,269,956/31,947
  6. Step 6: Final answer
    x = 73,223.46

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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.