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Finding the Third Proportional to 6,475.25 and 14,311.75

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Solution

The third proportional to 6,475.25 and 14,311.75 is: 31,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.25 : 14,311.75 = 14,311.75 : x
  2. Step 2: Convert to fraction form
    6,475.25/14,311.75 = 14,311.75/x
  3. Step 3: Cross multiply
    6,475.25x = 14,311.75 × 14,311.75
  4. Step 4: Simplify right side
    6,475.25x = 204,826,188.06
  5. Step 5: Solve for x
    x = 204,826,188.06/6,475.25
  6. Step 6: Final answer
    x = 31,632.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.