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Finding the Third Proportional to 33,337.50 and 48,690

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Solution

The third proportional to 33,337.50 and 48,690 is: 71,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,337.50 : 48,690 = 48,690 : x
  2. Step 2: Convert to fraction form
    33,337.50/48,690 = 48,690/x
  3. Step 3: Cross multiply
    33,337.50x = 48,690 × 48,690
  4. Step 4: Simplify right side
    33,337.50x = 2,370,716,100
  5. Step 5: Solve for x
    x = 2,370,716,100/33,337.50
  6. Step 6: Final answer
    x = 71,112.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.