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Finding the Third Proportional to 19,985 and 31,067

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Solution

The third proportional to 19,985 and 31,067 is: 48,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985 : 31,067 = 31,067 : x
  2. Step 2: Convert to fraction form
    19,985/31,067 = 31,067/x
  3. Step 3: Cross multiply
    19,985x = 31,067 × 31,067
  4. Step 4: Simplify right side
    19,985x = 965,158,489
  5. Step 5: Solve for x
    x = 965,158,489/19,985
  6. Step 6: Final answer
    x = 48,294.15

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Why These Related Problems?

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