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Finding the Third Proportional to 18,014 and 19,934

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Solution

The third proportional to 18,014 and 19,934 is: 22,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014 : 19,934 = 19,934 : x
  2. Step 2: Convert to fraction form
    18,014/19,934 = 19,934/x
  3. Step 3: Cross multiply
    18,014x = 19,934 × 19,934
  4. Step 4: Simplify right side
    18,014x = 397,364,356
  5. Step 5: Solve for x
    x = 397,364,356/18,014
  6. Step 6: Final answer
    x = 22,058.64

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.