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Finding the Third Proportional to 36,372 and 49,119

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Solution

The third proportional to 36,372 and 49,119 is: 66,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,372 : 49,119 = 49,119 : x
  2. Step 2: Convert to fraction form
    36,372/49,119 = 49,119/x
  3. Step 3: Cross multiply
    36,372x = 49,119 × 49,119
  4. Step 4: Simplify right side
    36,372x = 2,412,676,161
  5. Step 5: Solve for x
    x = 2,412,676,161/36,372
  6. Step 6: Final answer
    x = 66,333.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.