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Finding the Third Proportional to 33,942 and 74,576

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Solution

The third proportional to 33,942 and 74,576 is: 163,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,942 : 74,576 = 74,576 : x
  2. Step 2: Convert to fraction form
    33,942/74,576 = 74,576/x
  3. Step 3: Cross multiply
    33,942x = 74,576 × 74,576
  4. Step 4: Simplify right side
    33,942x = 5,561,579,776
  5. Step 5: Solve for x
    x = 5,561,579,776/33,942
  6. Step 6: Final answer
    x = 163,855.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.