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Finding the Third Proportional to 33,156.84 and 71,609.06

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Solution

The third proportional to 33,156.84 and 71,609.06 is: 154,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.84 : 71,609.06 = 71,609.06 : x
  2. Step 2: Convert to fraction form
    33,156.84/71,609.06 = 71,609.06/x
  3. Step 3: Cross multiply
    33,156.84x = 71,609.06 × 71,609.06
  4. Step 4: Simplify right side
    33,156.84x = 5,127,857,832.13
  5. Step 5: Solve for x
    x = 5,127,857,832.13/33,156.84
  6. Step 6: Final answer
    x = 154,654.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.