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Finding the Third Proportional to 16,554 and 39,043.50

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Solution

The third proportional to 16,554 and 39,043.50 is: 92,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,554 : 39,043.50 = 39,043.50 : x
  2. Step 2: Convert to fraction form
    16,554/39,043.50 = 39,043.50/x
  3. Step 3: Cross multiply
    16,554x = 39,043.50 × 39,043.50
  4. Step 4: Simplify right side
    16,554x = 1,524,394,892.25
  5. Step 5: Solve for x
    x = 1,524,394,892.25/16,554
  6. Step 6: Final answer
    x = 92,086.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.