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Finding the Third Proportional to 9,134.44 and 11,476.69

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Solution

The third proportional to 9,134.44 and 11,476.69 is: 14,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.44 : 11,476.69 = 11,476.69 : x
  2. Step 2: Convert to fraction form
    9,134.44/11,476.69 = 11,476.69/x
  3. Step 3: Cross multiply
    9,134.44x = 11,476.69 × 11,476.69
  4. Step 4: Simplify right side
    9,134.44x = 131,714,355.97
  5. Step 5: Solve for x
    x = 131,714,355.97/9,134.44
  6. Step 6: Final answer
    x = 14,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.