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Finding the Third Proportional to 33,214.50 and 50,688

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Solution

The third proportional to 33,214.50 and 50,688 is: 77,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.50 : 50,688 = 50,688 : x
  2. Step 2: Convert to fraction form
    33,214.50/50,688 = 50,688/x
  3. Step 3: Cross multiply
    33,214.50x = 50,688 × 50,688
  4. Step 4: Simplify right side
    33,214.50x = 2,569,273,344
  5. Step 5: Solve for x
    x = 2,569,273,344/33,214.50
  6. Step 6: Final answer
    x = 77,353.97

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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.