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Finding the Third Proportional to 33,459 and 74,299

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Solution

The third proportional to 33,459 and 74,299 is: 164,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,459 : 74,299 = 74,299 : x
  2. Step 2: Convert to fraction form
    33,459/74,299 = 74,299/x
  3. Step 3: Cross multiply
    33,459x = 74,299 × 74,299
  4. Step 4: Simplify right side
    33,459x = 5,520,341,401
  5. Step 5: Solve for x
    x = 5,520,341,401/33,459
  6. Step 6: Final answer
    x = 164,988.24

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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.