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Finding the Third Proportional to 3,456 and 4,900

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Solution

The third proportional to 3,456 and 4,900 is: 6,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,900 = 4,900 : x
  2. Step 2: Convert to fraction form
    3,456/4,900 = 4,900/x
  3. Step 3: Cross multiply
    3,456x = 4,900 × 4,900
  4. Step 4: Simplify right side
    3,456x = 24,010,000
  5. Step 5: Solve for x
    x = 24,010,000/3,456
  6. Step 6: Final answer
    x = 6,947.34

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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.