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Finding the Third Proportional to 33,392.25 and 47,172.38

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Solution

The third proportional to 33,392.25 and 47,172.38 is: 66,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,392.25 : 47,172.38 = 47,172.38 : x
  2. Step 2: Convert to fraction form
    33,392.25/47,172.38 = 47,172.38/x
  3. Step 3: Cross multiply
    33,392.25x = 47,172.38 × 47,172.38
  4. Step 4: Simplify right side
    33,392.25x = 2,225,232,963.14
  5. Step 5: Solve for x
    x = 2,225,232,963.14/33,392.25
  6. Step 6: Final answer
    x = 66,639.20

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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.