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Finding the Third Proportional to 6,940 and 15,446

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Solution

The third proportional to 6,940 and 15,446 is: 34,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 15,446 = 15,446 : x
  2. Step 2: Convert to fraction form
    6,940/15,446 = 15,446/x
  3. Step 3: Cross multiply
    6,940x = 15,446 × 15,446
  4. Step 4: Simplify right side
    6,940x = 238,578,916
  5. Step 5: Solve for x
    x = 238,578,916/6,940
  6. Step 6: Final answer
    x = 34,377.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.