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Finding the Third Proportional to 36,733.50 and 51,273

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Solution

The third proportional to 36,733.50 and 51,273 is: 71,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,733.50 : 51,273 = 51,273 : x
  2. Step 2: Convert to fraction form
    36,733.50/51,273 = 51,273/x
  3. Step 3: Cross multiply
    36,733.50x = 51,273 × 51,273
  4. Step 4: Simplify right side
    36,733.50x = 2,628,920,529
  5. Step 5: Solve for x
    x = 2,628,920,529/36,733.50
  6. Step 6: Final answer
    x = 71,567.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.