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Finding the Third Proportional to 13,932 and 21,042

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Solution

The third proportional to 13,932 and 21,042 is: 31,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 21,042 = 21,042 : x
  2. Step 2: Convert to fraction form
    13,932/21,042 = 21,042/x
  3. Step 3: Cross multiply
    13,932x = 21,042 × 21,042
  4. Step 4: Simplify right side
    13,932x = 442,765,764
  5. Step 5: Solve for x
    x = 442,765,764/13,932
  6. Step 6: Final answer
    x = 31,780.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.