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Finding the Third Proportional to 37,617 and 79,456

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Solution

The third proportional to 37,617 and 79,456 is: 167,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,617 : 79,456 = 79,456 : x
  2. Step 2: Convert to fraction form
    37,617/79,456 = 79,456/x
  3. Step 3: Cross multiply
    37,617x = 79,456 × 79,456
  4. Step 4: Simplify right side
    37,617x = 6,313,255,936
  5. Step 5: Solve for x
    x = 6,313,255,936/37,617
  6. Step 6: Final answer
    x = 167,829.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.