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Finding the Third Proportional to 33,966 and 74,466

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Solution

The third proportional to 33,966 and 74,466 is: 163,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966 : 74,466 = 74,466 : x
  2. Step 2: Convert to fraction form
    33,966/74,466 = 74,466/x
  3. Step 3: Cross multiply
    33,966x = 74,466 × 74,466
  4. Step 4: Simplify right side
    33,966x = 5,545,185,156
  5. Step 5: Solve for x
    x = 5,545,185,156/33,966
  6. Step 6: Final answer
    x = 163,256.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.