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Finding the Third Proportional to 36,285 and 77,491

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Solution

The third proportional to 36,285 and 77,491 is: 165,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,285 : 77,491 = 77,491 : x
  2. Step 2: Convert to fraction form
    36,285/77,491 = 77,491/x
  3. Step 3: Cross multiply
    36,285x = 77,491 × 77,491
  4. Step 4: Simplify right side
    36,285x = 6,004,855,081
  5. Step 5: Solve for x
    x = 6,004,855,081/36,285
  6. Step 6: Final answer
    x = 165,491.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.