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Finding the Third Proportional to 33,618.75 and 47,117.25

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Solution

The third proportional to 33,618.75 and 47,117.25 is: 66,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,618.75 : 47,117.25 = 47,117.25 : x
  2. Step 2: Convert to fraction form
    33,618.75/47,117.25 = 47,117.25/x
  3. Step 3: Cross multiply
    33,618.75x = 47,117.25 × 47,117.25
  4. Step 4: Simplify right side
    33,618.75x = 2,220,035,247.56
  5. Step 5: Solve for x
    x = 2,220,035,247.56/33,618.75
  6. Step 6: Final answer
    x = 66,035.63

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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.