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Finding the Third Proportional to 32,893.59 and 72,046.97

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Solution

The third proportional to 32,893.59 and 72,046.97 is: 157,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.59 : 72,046.97 = 72,046.97 : x
  2. Step 2: Convert to fraction form
    32,893.59/72,046.97 = 72,046.97/x
  3. Step 3: Cross multiply
    32,893.59x = 72,046.97 × 72,046.97
  4. Step 4: Simplify right side
    32,893.59x = 5,190,765,706.06
  5. Step 5: Solve for x
    x = 5,190,765,706.06/32,893.59
  6. Step 6: Final answer
    x = 157,804.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.