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Finding the Third Proportional to 32,213.06 and 49,152.75

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Solution

The third proportional to 32,213.06 and 49,152.75 is: 75,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.06 : 49,152.75 = 49,152.75 : x
  2. Step 2: Convert to fraction form
    32,213.06/49,152.75 = 49,152.75/x
  3. Step 3: Cross multiply
    32,213.06x = 49,152.75 × 49,152.75
  4. Step 4: Simplify right side
    32,213.06x = 2,415,992,832.56
  5. Step 5: Solve for x
    x = 2,415,992,832.56/32,213.06
  6. Step 6: Final answer
    x = 75,000.41

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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.