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Finding the Third Proportional to 33,947.86 and 78,925.64

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Solution

The third proportional to 33,947.86 and 78,925.64 is: 183,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.86 : 78,925.64 = 78,925.64 : x
  2. Step 2: Convert to fraction form
    33,947.86/78,925.64 = 78,925.64/x
  3. Step 3: Cross multiply
    33,947.86x = 78,925.64 × 78,925.64
  4. Step 4: Simplify right side
    33,947.86x = 6,229,256,748.07
  5. Step 5: Solve for x
    x = 6,229,256,748.07/33,947.86
  6. Step 6: Final answer
    x = 183,494.83

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.