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Finding the Third Proportional to 33,424.50 and 47,028

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Solution

The third proportional to 33,424.50 and 47,028 is: 66,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,424.50 : 47,028 = 47,028 : x
  2. Step 2: Convert to fraction form
    33,424.50/47,028 = 47,028/x
  3. Step 3: Cross multiply
    33,424.50x = 47,028 × 47,028
  4. Step 4: Simplify right side
    33,424.50x = 2,211,632,784
  5. Step 5: Solve for x
    x = 2,211,632,784/33,424.50
  6. Step 6: Final answer
    x = 66,168.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.