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Finding the Third Proportional to 32,877.62 and 49,835.41

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Solution

The third proportional to 32,877.62 and 49,835.41 is: 75,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877.62 : 49,835.41 = 49,835.41 : x
  2. Step 2: Convert to fraction form
    32,877.62/49,835.41 = 49,835.41/x
  3. Step 3: Cross multiply
    32,877.62x = 49,835.41 × 49,835.41
  4. Step 4: Simplify right side
    32,877.62x = 2,483,567,910.77
  5. Step 5: Solve for x
    x = 2,483,567,910.77/32,877.62
  6. Step 6: Final answer
    x = 75,539.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.