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Finding the Third Proportional to 16,653.50 and 34,481

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Solution

The third proportional to 16,653.50 and 34,481 is: 71,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,653.50 : 34,481 = 34,481 : x
  2. Step 2: Convert to fraction form
    16,653.50/34,481 = 34,481/x
  3. Step 3: Cross multiply
    16,653.50x = 34,481 × 34,481
  4. Step 4: Simplify right side
    16,653.50x = 1,188,939,361
  5. Step 5: Solve for x
    x = 1,188,939,361/16,653.50
  6. Step 6: Final answer
    x = 71,392.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.