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Finding the Third Proportional to 18,640 and 27,707

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Solution

The third proportional to 18,640 and 27,707 is: 41,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640 : 27,707 = 27,707 : x
  2. Step 2: Convert to fraction form
    18,640/27,707 = 27,707/x
  3. Step 3: Cross multiply
    18,640x = 27,707 × 27,707
  4. Step 4: Simplify right side
    18,640x = 767,677,849
  5. Step 5: Solve for x
    x = 767,677,849/18,640
  6. Step 6: Final answer
    x = 41,184.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.