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Finding the Third Proportional to 33,012.56 and 69,670.13

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Solution

The third proportional to 33,012.56 and 69,670.13 is: 147,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.56 : 69,670.13 = 69,670.13 : x
  2. Step 2: Convert to fraction form
    33,012.56/69,670.13 = 69,670.13/x
  3. Step 3: Cross multiply
    33,012.56x = 69,670.13 × 69,670.13
  4. Step 4: Simplify right side
    33,012.56x = 4,853,926,317.52
  5. Step 5: Solve for x
    x = 4,853,926,317.52/33,012.56
  6. Step 6: Final answer
    x = 147,032.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.