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Finding the Third Proportional to 31,763 and 43,612

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Solution

The third proportional to 31,763 and 43,612 is: 59,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763 : 43,612 = 43,612 : x
  2. Step 2: Convert to fraction form
    31,763/43,612 = 43,612/x
  3. Step 3: Cross multiply
    31,763x = 43,612 × 43,612
  4. Step 4: Simplify right side
    31,763x = 1,902,006,544
  5. Step 5: Solve for x
    x = 1,902,006,544/31,763
  6. Step 6: Final answer
    x = 59,881.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.