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Finding the Third Proportional to 31,880 and 73,940

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Solution

The third proportional to 31,880 and 73,940 is: 171,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880 : 73,940 = 73,940 : x
  2. Step 2: Convert to fraction form
    31,880/73,940 = 73,940/x
  3. Step 3: Cross multiply
    31,880x = 73,940 × 73,940
  4. Step 4: Simplify right side
    31,880x = 5,467,123,600
  5. Step 5: Solve for x
    x = 5,467,123,600/31,880
  6. Step 6: Final answer
    x = 171,490.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.