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Finding the Third Proportional to 33,182.34 and 71,900.53

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Solution

The third proportional to 33,182.34 and 71,900.53 is: 155,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.34 : 71,900.53 = 71,900.53 : x
  2. Step 2: Convert to fraction form
    33,182.34/71,900.53 = 71,900.53/x
  3. Step 3: Cross multiply
    33,182.34x = 71,900.53 × 71,900.53
  4. Step 4: Simplify right side
    33,182.34x = 5,169,686,394.03
  5. Step 5: Solve for x
    x = 5,169,686,394.03/33,182.34
  6. Step 6: Final answer
    x = 155,796.30

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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.