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Finding the Third Proportional to 32,764.50 and 49,029.75

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Solution

The third proportional to 32,764.50 and 49,029.75 is: 73,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764.50 : 49,029.75 = 49,029.75 : x
  2. Step 2: Convert to fraction form
    32,764.50/49,029.75 = 49,029.75/x
  3. Step 3: Cross multiply
    32,764.50x = 49,029.75 × 49,029.75
  4. Step 4: Simplify right side
    32,764.50x = 2,403,916,385.06
  5. Step 5: Solve for x
    x = 2,403,916,385.06/32,764.50
  6. Step 6: Final answer
    x = 73,369.54

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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.