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Finding the Third Proportional to 32,491.50 and 49,091.25

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Solution

The third proportional to 32,491.50 and 49,091.25 is: 74,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.50 : 49,091.25 = 49,091.25 : x
  2. Step 2: Convert to fraction form
    32,491.50/49,091.25 = 49,091.25/x
  3. Step 3: Cross multiply
    32,491.50x = 49,091.25 × 49,091.25
  4. Step 4: Simplify right side
    32,491.50x = 2,409,950,826.56
  5. Step 5: Solve for x
    x = 2,409,950,826.56/32,491.50
  6. Step 6: Final answer
    x = 74,171.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.