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Finding the Third Proportional to 33,292.41 and 78,579.56

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Solution

The third proportional to 33,292.41 and 78,579.56 is: 185,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,292.41 : 78,579.56 = 78,579.56 : x
  2. Step 2: Convert to fraction form
    33,292.41/78,579.56 = 78,579.56/x
  3. Step 3: Cross multiply
    33,292.41x = 78,579.56 × 78,579.56
  4. Step 4: Simplify right side
    33,292.41x = 6,174,747,642.69
  5. Step 5: Solve for x
    x = 6,174,747,642.69/33,292.41
  6. Step 6: Final answer
    x = 185,470.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.