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Finding the Third Proportional to 32,136.75 and 49,435.31

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Solution

The third proportional to 32,136.75 and 49,435.31 is: 76,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.75 : 49,435.31 = 49,435.31 : x
  2. Step 2: Convert to fraction form
    32,136.75/49,435.31 = 49,435.31/x
  3. Step 3: Cross multiply
    32,136.75x = 49,435.31 × 49,435.31
  4. Step 4: Simplify right side
    32,136.75x = 2,443,850,121.97
  5. Step 5: Solve for x
    x = 2,443,850,121.97/32,136.75
  6. Step 6: Final answer
    x = 76,045.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.