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Finding the Third Proportional to 33,744.50 and 51,639

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Solution

The third proportional to 33,744.50 and 51,639 is: 79,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744.50 : 51,639 = 51,639 : x
  2. Step 2: Convert to fraction form
    33,744.50/51,639 = 51,639/x
  3. Step 3: Cross multiply
    33,744.50x = 51,639 × 51,639
  4. Step 4: Simplify right side
    33,744.50x = 2,666,586,321
  5. Step 5: Solve for x
    x = 2,666,586,321/33,744.50
  6. Step 6: Final answer
    x = 79,022.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.