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Finding the Third Proportional to 27,405.84 and 54,435.80

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Solution

The third proportional to 27,405.84 and 54,435.80 is: 108,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.84 : 54,435.80 = 54,435.80 : x
  2. Step 2: Convert to fraction form
    27,405.84/54,435.80 = 54,435.80/x
  3. Step 3: Cross multiply
    27,405.84x = 54,435.80 × 54,435.80
  4. Step 4: Simplify right side
    27,405.84x = 2,963,255,981.42
  5. Step 5: Solve for x
    x = 2,963,255,981.42/27,405.84
  6. Step 6: Final answer
    x = 108,124.97

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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.