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Finding the Third Proportional to 12,581 and 19,983

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Solution

The third proportional to 12,581 and 19,983 is: 31,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581 : 19,983 = 19,983 : x
  2. Step 2: Convert to fraction form
    12,581/19,983 = 19,983/x
  3. Step 3: Cross multiply
    12,581x = 19,983 × 19,983
  4. Step 4: Simplify right side
    12,581x = 399,320,289
  5. Step 5: Solve for x
    x = 399,320,289/12,581
  6. Step 6: Final answer
    x = 31,739.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.