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Finding the Third Proportional to 7,997.25 and 14,835.75

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Solution

The third proportional to 7,997.25 and 14,835.75 is: 27,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.25 : 14,835.75 = 14,835.75 : x
  2. Step 2: Convert to fraction form
    7,997.25/14,835.75 = 14,835.75/x
  3. Step 3: Cross multiply
    7,997.25x = 14,835.75 × 14,835.75
  4. Step 4: Simplify right side
    7,997.25x = 220,099,478.06
  5. Step 5: Solve for x
    x = 220,099,478.06/7,997.25
  6. Step 6: Final answer
    x = 27,521.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.