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Finding the Third Proportional to 37,896 and 79,599

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Solution

The third proportional to 37,896 and 79,599 is: 167,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896 : 79,599 = 79,599 : x
  2. Step 2: Convert to fraction form
    37,896/79,599 = 79,599/x
  3. Step 3: Cross multiply
    37,896x = 79,599 × 79,599
  4. Step 4: Simplify right side
    37,896x = 6,336,000,801
  5. Step 5: Solve for x
    x = 6,336,000,801/37,896
  6. Step 6: Final answer
    x = 167,194.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.