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Finding the Third Proportional to 33,101.16 and 50,437.69

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Solution

The third proportional to 33,101.16 and 50,437.69 is: 76,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.16 : 50,437.69 = 50,437.69 : x
  2. Step 2: Convert to fraction form
    33,101.16/50,437.69 = 50,437.69/x
  3. Step 3: Cross multiply
    33,101.16x = 50,437.69 × 50,437.69
  4. Step 4: Simplify right side
    33,101.16x = 2,543,960,320.35
  5. Step 5: Solve for x
    x = 2,543,960,320.35/33,101.16
  6. Step 6: Final answer
    x = 76,854.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.