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Finding the Third Proportional to 33,692 and 56,148

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Solution

The third proportional to 33,692 and 56,148 is: 93,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692 : 56,148 = 56,148 : x
  2. Step 2: Convert to fraction form
    33,692/56,148 = 56,148/x
  3. Step 3: Cross multiply
    33,692x = 56,148 × 56,148
  4. Step 4: Simplify right side
    33,692x = 3,152,597,904
  5. Step 5: Solve for x
    x = 3,152,597,904/33,692
  6. Step 6: Final answer
    x = 93,571.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.