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Finding the Third Proportional to 37,944 and 79,875

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Solution

The third proportional to 37,944 and 79,875 is: 168,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,944 : 79,875 = 79,875 : x
  2. Step 2: Convert to fraction form
    37,944/79,875 = 79,875/x
  3. Step 3: Cross multiply
    37,944x = 79,875 × 79,875
  4. Step 4: Simplify right side
    37,944x = 6,380,015,625
  5. Step 5: Solve for x
    x = 6,380,015,625/37,944
  6. Step 6: Final answer
    x = 168,142.94

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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.