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Finding the Third Proportional to 32,811.75 and 49,208.06

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Solution

The third proportional to 32,811.75 and 49,208.06 is: 73,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.75 : 49,208.06 = 49,208.06 : x
  2. Step 2: Convert to fraction form
    32,811.75/49,208.06 = 49,208.06/x
  3. Step 3: Cross multiply
    32,811.75x = 49,208.06 × 49,208.06
  4. Step 4: Simplify right side
    32,811.75x = 2,421,433,415.00
  5. Step 5: Solve for x
    x = 2,421,433,415.00/32,811.75
  6. Step 6: Final answer
    x = 73,797.75

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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.