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Finding the Third Proportional to 31,234 and 49,956

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Solution

The third proportional to 31,234 and 49,956 is: 79,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234 : 49,956 = 49,956 : x
  2. Step 2: Convert to fraction form
    31,234/49,956 = 49,956/x
  3. Step 3: Cross multiply
    31,234x = 49,956 × 49,956
  4. Step 4: Simplify right side
    31,234x = 2,495,601,936
  5. Step 5: Solve for x
    x = 2,495,601,936/31,234
  6. Step 6: Final answer
    x = 79,900.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.