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Finding the Third Proportional to 33,464 and 66,082

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Solution

The third proportional to 33,464 and 66,082 is: 130,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464 : 66,082 = 66,082 : x
  2. Step 2: Convert to fraction form
    33,464/66,082 = 66,082/x
  3. Step 3: Cross multiply
    33,464x = 66,082 × 66,082
  4. Step 4: Simplify right side
    33,464x = 4,366,830,724
  5. Step 5: Solve for x
    x = 4,366,830,724/33,464
  6. Step 6: Final answer
    x = 130,493.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.