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Finding the Third Proportional to 33,571.13 and 51,328.69

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Solution

The third proportional to 33,571.13 and 51,328.69 is: 78,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,571.13 : 51,328.69 = 51,328.69 : x
  2. Step 2: Convert to fraction form
    33,571.13/51,328.69 = 51,328.69/x
  3. Step 3: Cross multiply
    33,571.13x = 51,328.69 × 51,328.69
  4. Step 4: Simplify right side
    33,571.13x = 2,634,634,160.47
  5. Step 5: Solve for x
    x = 2,634,634,160.47/33,571.13
  6. Step 6: Final answer
    x = 78,479.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.