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Finding the Third Proportional to 33,971 and 69,453

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Solution

The third proportional to 33,971 and 69,453 is: 141,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971 : 69,453 = 69,453 : x
  2. Step 2: Convert to fraction form
    33,971/69,453 = 69,453/x
  3. Step 3: Cross multiply
    33,971x = 69,453 × 69,453
  4. Step 4: Simplify right side
    33,971x = 4,823,719,209
  5. Step 5: Solve for x
    x = 4,823,719,209/33,971
  6. Step 6: Final answer
    x = 141,995.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.