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Finding the Third Proportional to 32,446.20 and 54,435.80

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Solution

The third proportional to 32,446.20 and 54,435.80 is: 91,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.20 : 54,435.80 = 54,435.80 : x
  2. Step 2: Convert to fraction form
    32,446.20/54,435.80 = 54,435.80/x
  3. Step 3: Cross multiply
    32,446.20x = 54,435.80 × 54,435.80
  4. Step 4: Simplify right side
    32,446.20x = 2,963,255,981.42
  5. Step 5: Solve for x
    x = 2,963,255,981.42/32,446.20
  6. Step 6: Final answer
    x = 91,328.30

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.