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Finding the Third Proportional to 7,176.09 and 13,896.56

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Solution

The third proportional to 7,176.09 and 13,896.56 is: 26,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.09 : 13,896.56 = 13,896.56 : x
  2. Step 2: Convert to fraction form
    7,176.09/13,896.56 = 13,896.56/x
  3. Step 3: Cross multiply
    7,176.09x = 13,896.56 × 13,896.56
  4. Step 4: Simplify right side
    7,176.09x = 193,114,449.32
  5. Step 5: Solve for x
    x = 193,114,449.32/7,176.09
  6. Step 6: Final answer
    x = 26,910.80

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.