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Finding the Third Proportional to 5,835.80 and 12,592.97

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Solution

The third proportional to 5,835.80 and 12,592.97 is: 27,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.80 : 12,592.97 = 12,592.97 : x
  2. Step 2: Convert to fraction form
    5,835.80/12,592.97 = 12,592.97/x
  3. Step 3: Cross multiply
    5,835.80x = 12,592.97 × 12,592.97
  4. Step 4: Simplify right side
    5,835.80x = 158,582,861.94
  5. Step 5: Solve for x
    x = 158,582,861.94/5,835.80
  6. Step 6: Final answer
    x = 27,174.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.