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Finding the Third Proportional to 33,098 and 46,299

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Solution

The third proportional to 33,098 and 46,299 is: 64,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098 : 46,299 = 46,299 : x
  2. Step 2: Convert to fraction form
    33,098/46,299 = 46,299/x
  3. Step 3: Cross multiply
    33,098x = 46,299 × 46,299
  4. Step 4: Simplify right side
    33,098x = 2,143,597,401
  5. Step 5: Solve for x
    x = 2,143,597,401/33,098
  6. Step 6: Final answer
    x = 64,765.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.