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Finding the Third Proportional to 16,733.50 and 36,059

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Solution

The third proportional to 16,733.50 and 36,059 is: 77,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733.50 : 36,059 = 36,059 : x
  2. Step 2: Convert to fraction form
    16,733.50/36,059 = 36,059/x
  3. Step 3: Cross multiply
    16,733.50x = 36,059 × 36,059
  4. Step 4: Simplify right side
    16,733.50x = 1,300,251,481
  5. Step 5: Solve for x
    x = 1,300,251,481/16,733.50
  6. Step 6: Final answer
    x = 77,703.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.