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Finding the Third Proportional to 6,940 and 12,456

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Solution

The third proportional to 6,940 and 12,456 is: 22,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 12,456 = 12,456 : x
  2. Step 2: Convert to fraction form
    6,940/12,456 = 12,456/x
  3. Step 3: Cross multiply
    6,940x = 12,456 × 12,456
  4. Step 4: Simplify right side
    6,940x = 155,151,936
  5. Step 5: Solve for x
    x = 155,151,936/6,940
  6. Step 6: Final answer
    x = 22,356.19

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.