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Finding the Third Proportional to 14,229 and 33,672.75

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Solution

The third proportional to 14,229 and 33,672.75 is: 79,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229 : 33,672.75 = 33,672.75 : x
  2. Step 2: Convert to fraction form
    14,229/33,672.75 = 33,672.75/x
  3. Step 3: Cross multiply
    14,229x = 33,672.75 × 33,672.75
  4. Step 4: Simplify right side
    14,229x = 1,133,854,092.56
  5. Step 5: Solve for x
    x = 1,133,854,092.56/14,229
  6. Step 6: Final answer
    x = 79,686.14

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.