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Finding the Third Proportional to 36,701 and 81,463

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Solution

The third proportional to 36,701 and 81,463 is: 180,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701 : 81,463 = 81,463 : x
  2. Step 2: Convert to fraction form
    36,701/81,463 = 81,463/x
  3. Step 3: Cross multiply
    36,701x = 81,463 × 81,463
  4. Step 4: Simplify right side
    36,701x = 6,636,220,369
  5. Step 5: Solve for x
    x = 6,636,220,369/36,701
  6. Step 6: Final answer
    x = 180,818.52

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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.