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Finding the Third Proportional to 11,986 and 19,733

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Solution

The third proportional to 11,986 and 19,733 is: 32,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986 : 19,733 = 19,733 : x
  2. Step 2: Convert to fraction form
    11,986/19,733 = 19,733/x
  3. Step 3: Cross multiply
    11,986x = 19,733 × 19,733
  4. Step 4: Simplify right side
    11,986x = 389,391,289
  5. Step 5: Solve for x
    x = 389,391,289/11,986
  6. Step 6: Final answer
    x = 32,487.18

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.