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Finding the Third Proportional to 4,180 and 7,496

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Solution

The third proportional to 4,180 and 7,496 is: 13,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 7,496 = 7,496 : x
  2. Step 2: Convert to fraction form
    4,180/7,496 = 7,496/x
  3. Step 3: Cross multiply
    4,180x = 7,496 × 7,496
  4. Step 4: Simplify right side
    4,180x = 56,190,016
  5. Step 5: Solve for x
    x = 56,190,016/4,180
  6. Step 6: Final answer
    x = 13,442.59

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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.