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Finding the Third Proportional to 32,816.81 and 71,990.44

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Solution

The third proportional to 32,816.81 and 71,990.44 is: 157,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816.81 : 71,990.44 = 71,990.44 : x
  2. Step 2: Convert to fraction form
    32,816.81/71,990.44 = 71,990.44/x
  3. Step 3: Cross multiply
    32,816.81x = 71,990.44 × 71,990.44
  4. Step 4: Simplify right side
    32,816.81x = 5,182,623,091.44
  5. Step 5: Solve for x
    x = 5,182,623,091.44/32,816.81
  6. Step 6: Final answer
    x = 157,925.85

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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.