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Finding the Third Proportional to 36,072 and 49,653

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Solution

The third proportional to 36,072 and 49,653 is: 68,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,072 : 49,653 = 49,653 : x
  2. Step 2: Convert to fraction form
    36,072/49,653 = 49,653/x
  3. Step 3: Cross multiply
    36,072x = 49,653 × 49,653
  4. Step 4: Simplify right side
    36,072x = 2,465,420,409
  5. Step 5: Solve for x
    x = 2,465,420,409/36,072
  6. Step 6: Final answer
    x = 68,347.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.