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Finding the Third Proportional to 33,740 and 54,210

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Solution

The third proportional to 33,740 and 54,210 is: 87,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740 : 54,210 = 54,210 : x
  2. Step 2: Convert to fraction form
    33,740/54,210 = 54,210/x
  3. Step 3: Cross multiply
    33,740x = 54,210 × 54,210
  4. Step 4: Simplify right side
    33,740x = 2,938,724,100
  5. Step 5: Solve for x
    x = 2,938,724,100/33,740
  6. Step 6: Final answer
    x = 87,099.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.