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Finding the Third Proportional to 32,961.94 and 51,007.22

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Solution

The third proportional to 32,961.94 and 51,007.22 is: 78,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.94 : 51,007.22 = 51,007.22 : x
  2. Step 2: Convert to fraction form
    32,961.94/51,007.22 = 51,007.22/x
  3. Step 3: Cross multiply
    32,961.94x = 51,007.22 × 51,007.22
  4. Step 4: Simplify right side
    32,961.94x = 2,601,736,364.61
  5. Step 5: Solve for x
    x = 2,601,736,364.61/32,961.94
  6. Step 6: Final answer
    x = 78,931.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.