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Finding the Third Proportional to 32,762.53 and 49,093.03

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Solution

The third proportional to 32,762.53 and 49,093.03 is: 73,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.53 : 49,093.03 = 49,093.03 : x
  2. Step 2: Convert to fraction form
    32,762.53/49,093.03 = 49,093.03/x
  3. Step 3: Cross multiply
    32,762.53x = 49,093.03 × 49,093.03
  4. Step 4: Simplify right side
    32,762.53x = 2,410,125,717.31
  5. Step 5: Solve for x
    x = 2,410,125,717.31/32,762.53
  6. Step 6: Final answer
    x = 73,563.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.