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Finding the Third Proportional to 19,936 and 31,000

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Solution

The third proportional to 19,936 and 31,000 is: 48,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 31,000 = 31,000 : x
  2. Step 2: Convert to fraction form
    19,936/31,000 = 31,000/x
  3. Step 3: Cross multiply
    19,936x = 31,000 × 31,000
  4. Step 4: Simplify right side
    19,936x = 961,000,000
  5. Step 5: Solve for x
    x = 961,000,000/19,936
  6. Step 6: Final answer
    x = 48,204.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.