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Finding the Third Proportional to 37,642 and 79,460

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Solution

The third proportional to 37,642 and 79,460 is: 167,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642 : 79,460 = 79,460 : x
  2. Step 2: Convert to fraction form
    37,642/79,460 = 79,460/x
  3. Step 3: Cross multiply
    37,642x = 79,460 × 79,460
  4. Step 4: Simplify right side
    37,642x = 6,313,891,600
  5. Step 5: Solve for x
    x = 6,313,891,600/37,642
  6. Step 6: Final answer
    x = 167,735.29

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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.