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Finding the Third Proportional to 33,494 and 74,332

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Solution

The third proportional to 33,494 and 74,332 is: 164,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494 : 74,332 = 74,332 : x
  2. Step 2: Convert to fraction form
    33,494/74,332 = 74,332/x
  3. Step 3: Cross multiply
    33,494x = 74,332 × 74,332
  4. Step 4: Simplify right side
    33,494x = 5,525,246,224
  5. Step 5: Solve for x
    x = 5,525,246,224/33,494
  6. Step 6: Final answer
    x = 164,962.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.