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Finding the Third Proportional to 2,679.33 and 6,174.98

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Solution

The third proportional to 2,679.33 and 6,174.98 is: 14,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.33 : 6,174.98 = 6,174.98 : x
  2. Step 2: Convert to fraction form
    2,679.33/6,174.98 = 6,174.98/x
  3. Step 3: Cross multiply
    2,679.33x = 6,174.98 × 6,174.98
  4. Step 4: Simplify right side
    2,679.33x = 38,130,432.03
  5. Step 5: Solve for x
    x = 38,130,432.03/2,679.33
  6. Step 6: Final answer
    x = 14,231.34

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.