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Finding the Third Proportional to 36,690 and 80,414

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Solution

The third proportional to 36,690 and 80,414 is: 176,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,690 : 80,414 = 80,414 : x
  2. Step 2: Convert to fraction form
    36,690/80,414 = 80,414/x
  3. Step 3: Cross multiply
    36,690x = 80,414 × 80,414
  4. Step 4: Simplify right side
    36,690x = 6,466,411,396
  5. Step 5: Solve for x
    x = 6,466,411,396/36,690
  6. Step 6: Final answer
    x = 176,244.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.