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Finding the Third Proportional to 33,096.09 and 71,929.27

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Solution

The third proportional to 33,096.09 and 71,929.27 is: 156,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.09 : 71,929.27 = 71,929.27 : x
  2. Step 2: Convert to fraction form
    33,096.09/71,929.27 = 71,929.27/x
  3. Step 3: Cross multiply
    33,096.09x = 71,929.27 × 71,929.27
  4. Step 4: Simplify right side
    33,096.09x = 5,173,819,253.35
  5. Step 5: Solve for x
    x = 5,173,819,253.35/33,096.09
  6. Step 6: Final answer
    x = 156,327.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.