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Finding the Third Proportional to 9,834 and 14,001

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Solution

The third proportional to 9,834 and 14,001 is: 19,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 14,001 = 14,001 : x
  2. Step 2: Convert to fraction form
    9,834/14,001 = 14,001/x
  3. Step 3: Cross multiply
    9,834x = 14,001 × 14,001
  4. Step 4: Simplify right side
    9,834x = 196,028,001
  5. Step 5: Solve for x
    x = 196,028,001/9,834
  6. Step 6: Final answer
    x = 19,933.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.