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Finding the Third Proportional to 9,940 and 13,930

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Solution

The third proportional to 9,940 and 13,930 is: 19,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940 : 13,930 = 13,930 : x
  2. Step 2: Convert to fraction form
    9,940/13,930 = 13,930/x
  3. Step 3: Cross multiply
    9,940x = 13,930 × 13,930
  4. Step 4: Simplify right side
    9,940x = 194,044,900
  5. Step 5: Solve for x
    x = 194,044,900/9,940
  6. Step 6: Final answer
    x = 19,521.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.